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Understanding the quantized angular momentum of rotating Q-balls

DeVries, Benjamin, Vassallo, Fabrizio, Verhaaren, Christopher B.·2026·Journal of High Energy Physics
DOI 10.1007/jhep08(2026)108
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Abstract

A bstract: Non-topological solitons, such as Q-balls, may contribute to the cosmological dark matter. The formation and evolution of Q-balls in the early universe requires an understanding of solitons with nonzero angular momentum. We derive (rather than assume) the schematic form of the scalar field configurations that produce rotating Q-balls, which produce their well known quantized angular momentum. This analysis leads to additional insight into the properties of these rotating solitons, including a method for computing their characteristic angular velocity. By considering rotating solitons in two spatial dimensions, we investigate these attributes concretely. We develop analytical approximations for the solitons and their defining quantities. We show that they agree with numerical results and exhibit the general properties of rotating solitons.

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  1. R. Friedberg, T.D. Lee and A. Sirlin, A class of scalar-field soliton solutions in three space dimensions, Phys. Rev. D 13 (1976) 2739 [INSPIRE]. · DOI
  2. R. Friedberg and T.D. Lee, Fermion field nontopological solitons. 2. Models for hadrons, Phys. Rev. D 16 (1977) 1096 [INSPIRE]. · DOI
  3. S.R. Coleman, Q-balls, Nucl. Phys. B 262 (1985) 263 [Addendum ibid. 269 (1986) 744] [INSPIRE]. · DOI
  4. T.D. Lee and Y. Pang, Nontopological solitons, Phys. Rept. 221 (1992) 251 [INSPIRE]. · DOI
  5. K. Enqvist and J. McDonald, Q balls and baryogenesis in the MSSM, Phys. Lett. B 425 (1998) 309 [hep-ph/9711514] [INSPIRE]. · DOI
  6. S. Kasuya and M. Kawasaki, Q ball formation through Affleck-Dine mechanism, Phys. Rev. D 61 (2000) 041301 [hep-ph/9909509] [INSPIRE]. · DOI
  7. T. Multamaki and I. Vilja, Simulations of Q ball formation, Phys. Lett. B 535 (2002) 170 [hep-ph/0203195] [INSPIRE]. · DOI
  8. S. Kasuya and M. Kawasaki, Gravitino dark matter and baryon asymmetry from Q-ball decay in gauge mediation, Phys. Rev. D 84 (2011) 123528 [arXiv:1107.0403] [INSPIRE]. · DOI
  9. M.I. Tsumagari, Affleck-Dine dynamics, Q-ball formation and thermalisation, Phys. Rev. D 80 (2009) 085010 [arXiv:0907.4197] [INSPIRE]. · DOI
  10. B. von Harling, K. Petraki and R.R. Volkas, Affleck-Dine dynamics and the dark sector of pangenesis, JCAP 05 (2012) 021 [arXiv:1201.2200] [INSPIRE]. · DOI
  11. T. Matsuda, Q ball inflation, Phys. Rev. D 68 (2003) 127302 [hep-ph/0309339] [INSPIRE]. · DOI
  12. T. Matsuda, Brane Q ball, branonium and brane Q ball inflation, JCAP 10 (2004) 014 [hep-ph/0402223] [INSPIRE]. · DOI
  13. A.K. Lloyd-Stubbs and J. McDonald, Q-balls in nonminimally coupled Palatini inflation and their implications for cosmology, Phys. Rev. D 105 (2022) 103532 [arXiv:2112.09121] [INSPIRE]. · DOI
  14. A. Kusenko, Phase transitions precipitated by solitosynthesis, Phys. Lett. B 406 (1997) 26 [hep-ph/9705361] [INSPIRE]. · DOI
  15. L. Pearce, Solitosynthesis induced phase transitions, Phys. Rev. D 85 (2012) 125022 [arXiv:1202.0873] [INSPIRE]. · DOI
  16. A. Kusenko and A. Mazumdar, Gravitational waves from fragmentation of a primordial scalar condensate into Q-balls, Phys. Rev. Lett. 101 (2008) 211301 [arXiv:0807.4554] [INSPIRE]. · DOI
  17. D. Croon, A. Kusenko, A. Mazumdar and G. White, Solitosynthesis and gravitational waves, Phys. Rev. D 101 (2020) 085010 [arXiv:1910.09562] [INSPIRE]. · DOI
  18. F. Wang and R. Wang, Q-balls formation and the production of gravitational waves with non-minimal gravitational coupling, Eur. Phys. J. C 82 (2022) 325 [arXiv:2104.04682] [INSPIRE]. · DOI
  19. G. White, L. Pearce, D. Vagie and A. Kusenko, Detectable gravitational wave signals from Affleck-Dine baryogenesis, Phys. Rev. Lett. 127 (2021) 181601 [arXiv:2105.11655] [INSPIRE]. · DOI
  20. D.K. Hong and S.J. Lonsdale, Q-ball collisions and their gravitational waves, Phys. Rev. D 110 (2024) 123037 [arXiv:2408.12342] [INSPIRE]. · DOI
  21. Y. Bai, S. Lu and N. Orlofsky, Gravitational waves from dark binaries with finite-range dark forces, JCAP 03 (2025) 010 [arXiv:2412.15158] [INSPIRE]. · DOI
  22. Ş. Mişicu and I.N. Mishustin, The fullerene-like structure of superheavy element Z=120 (Greinerium) — a tribute to Walter Greiner, in in Walter Greiner memorial volume, World Scientific, Singapore (2018) [https://doi.org/10.1142/9789813234284_0018] [arXiv:1806.01886] [INSPIRE]. · DOI
  23. L.M. Satarov, I.N. Mishustin and H. Stoecker, Bose-Einstein condensation in finite drops of α particles, Phys. Rev. C 106 (2022) 014301 [arXiv:2112.12539] [INSPIRE]. · DOI
  24. A. Kusenko, Solitons in the supersymmetric extensions of the standard model, Phys. Lett. B 405 (1997) 108 [hep-ph/9704273] [INSPIRE]. · DOI
  25. A. Kusenko and M.E. Shaposhnikov, Supersymmetric Q balls as dark matter, Phys. Lett. B 418 (1998) 46 [hep-ph/9709492] [INSPIRE]. · DOI
  26. A. Kusenko, V. Kuzmin, M.E. Shaposhnikov and P.G. Tinyakov, Experimental signatures of supersymmetric dark matter Q balls, Phys. Rev. Lett. 80 (1998) 3185 [hep-ph/9712212] [INSPIRE]. · DOI
  27. G.R. Dvali, A. Kusenko and M.E. Shaposhnikov, New physics in a nutshell, or Q ball as a power plant, Phys. Lett. B 417 (1998) 99 [hep-ph/9707423] [INSPIRE]. · DOI
  28. A. Kusenko, L. Loveridge and M. Shaposhnikov, Supersymmetric dark matter Q-balls and their interactions in matter, Phys. Rev. D 72 (2005) 025015 [hep-ph/0405044] [INSPIRE]. · DOI
  29. A. Kusenko, L.C. Loveridge and M. Shaposhnikov, Astrophysical bounds on supersymmetric dark-matter Q-balls, JCAP 08 (2005) 011 [astro-ph/0507225] [INSPIRE]. · DOI
  30. D.A. Demir, Weak scale hidden sector and electroweak Q balls, Phys. Lett. B 450 (1999) 215 [hep-ph/9810453] [INSPIRE]. · DOI
  31. A. Kusenko and P.J. Steinhardt, Q ball candidates for selfinteracting dark matter, Phys. Rev. Lett. 87 (2001) 141301 [astro-ph/0106008] [INSPIRE]. · DOI
  32. K. Enqvist, A. Jokinen, T. Multamaki and I. Vilja, Constraints on selfinteracting Q ball dark matter, Phys. Lett. B 526 (2002) 9 [hep-ph/0111348] [INSPIRE]. · DOI
  33. S. Kasuya, M. Kawasaki and N. Tsuji, MeV gamma rays from Q-ball decay, Phys. Rev. D 109 (2024) 083039 [arXiv:2403.01675] [INSPIRE]. · DOI
  34. E. Pontón, Y. Bai and B. Jain, Electroweak symmetric dark matter balls, JHEP 09 (2019) 011 [arXiv:1906.10739] [INSPIRE]. · DOI
  35. Y. Bai, S. Lu and N. Orlofsky, Q-monopole-ball: a topological and nontopological soliton, JHEP 01 (2022) 109 [arXiv:2111.10360] [INSPIRE]. · DOI
  36. A. Ansari, L. Singh Bhandari and A.M. Thalapillil, Q-balls in the sky, Phys. Rev. D 109 (2024) 023003 [arXiv:2302.11590] [INSPIRE]. · DOI
  37. A. Kamada, T. Kuwahara and K. Watanabe, Revisiting Q-ball interactions with matters, JHEP 01 (2026) 146 [arXiv:2507.10900] [INSPIRE]. · DOI
  38. E.W. Mielke and F.E. Schunck, Nontopological scalar soliton as dark matter halo, Phys. Rev. D 66 (2002) 023503 [INSPIRE]. · DOI
  39. A.M. Pombo, L. Pizzuti and A. di Giacomo, Q-balls, neural networks and galaxy rotation curves, arXiv:2511.09634 [INSPIRE]. · arXiv
  40. S. Troitsky, Supermassive dark-matter Q-balls in galactic centers?, JCAP 11 (2016) 027 [arXiv:1510.07132] [INSPIRE]. · DOI
  41. Y. Bai, S. Lu and N. Orlofsky, Dark exoplanets, Phys. Rev. D 108 (2023) 103026 [arXiv:2303.12129] [INSPIRE]. · DOI
  42. L. Del Grosso, P. Pani and A. Urbano, Compact objects in and beyond the standard model from nonperturbative vacuum scalarization, Phys. Rev. D 109 (2024) 095006 [arXiv:2401.06716] [INSPIRE]. · DOI
  43. T.H. Kim, P. Lu and V. Takhistov, Unified gas heating constraints on extended dark matter compact objects, JCAP 01 (2026) 028 [arXiv:2508.18344] [INSPIRE]. · DOI
  44. L. Singh Bhandari, V. Rentala, A.M. Thalapillil and H. Verma, Probing exotic astrophysical dark objects through astrometric microlensing from Gaia, arXiv:2511.21823 [INSPIRE]. · arXiv
  45. E. Cotner and A. Kusenko, Primordial black holes from supersymmetry in the early universe, Phys. Rev. Lett. 119 (2017) 031103 [arXiv:1612.02529] [INSPIRE]. · DOI
  46. E. Cotner and A. Kusenko, Primordial black holes from scalar field evolution in the early universe, Phys. Rev. D 96 (2017) 103002 [arXiv:1706.09003] [INSPIRE]. · DOI
  47. E. Cotner, A. Kusenko and V. Takhistov, Primordial black holes from inflaton fragmentation into oscillons, Phys. Rev. D 98 (2018) 083513 [arXiv:1801.03321] [INSPIRE]. · DOI
  48. F. Hasegawa and M. Kawasaki, Primordial black holes from Affleck-Dine mechanism, JCAP 01 (2019) 027 [arXiv:1807.00463] [INSPIRE]. · DOI
  49. E. Cotner, A. Kusenko, M. Sasaki and V. Takhistov, Analytic description of primordial black hole formation from scalar field fragmentation, JCAP 10 (2019) 077 [arXiv:1907.10613] [INSPIRE]. · DOI
  50. M.M. Flores and A. Kusenko, Spins of primordial black holes formed in different cosmological scenarios, Phys. Rev. D 104 (2021) 063008 [arXiv:2106.03237] [INSPIRE]. · DOI
  51. M.M. Flores and A. Kusenko, Primordial black holes as a dark matter candidate in theories with supersymmetry and inflation, JCAP 05 (2023) 013 [arXiv:2108.08416] [INSPIRE]. · DOI
  52. S. Kasuya, M. Kawasaki, A. Kusenko and S. Neda, Formation of primordial black holes through Q-balls, JCAP 04 (2026) 027 [arXiv:2511.17075] [INSPIRE]. · DOI
  53. K. Griest and E.W. Kolb, Solitosynthesis: cosmological evolution of nontopological solitons, Phys. Rev. D 40 (1989) 3231 [INSPIRE]. · DOI
  54. M. Postma, Solitosynthesis of Q balls, Phys. Rev. D 65 (2002) 085035 [hep-ph/0110199] [INSPIRE]. · DOI
  55. L. Pearce, G. White and A. Kusenko, Generating non-topological solitons via thermal corrections: Higgs balls, JHEP 08 (2022) 033 [arXiv:2205.13557] [INSPIRE]. · DOI
  56. Y. Bai, S. Lu and N. Orlofsky, Origin of nontopological soliton dark matter: solitosynthesis or phase transition, JHEP 10 (2022) 181 [arXiv:2208.12290] [INSPIRE]. · DOI
  57. S. Jiang, F.P. Huang and P. Ko, Gauged Q-ball dark matter through a cosmological first-order phase transition, JHEP 07 (2024) 053 [arXiv:2404.16509] [INSPIRE]. · DOI
  58. A. Libanov, Can dark-matter Q-balls grow to the mass gap masses?, Phys. Rev. D 111 (2025) 063540 [arXiv:2412.08803] [INSPIRE]. · DOI
  59. A. Azatov, Q.T. Ho and M.M. Khalil, Q-ball perturbations with more details: linear analysis vs lattice, Phys. Rev. D 111 (2025) 096010 [arXiv:2412.13885] [INSPIRE]. · DOI
  60. Y. Kobayashi, M. Kasai and T. Futamase, Does a boson star rotate?, Phys. Rev. D 50 (1994) 7721 [INSPIRE]. · DOI
  61. Y. Almumin, J. Heeck, A. Rajaraman and C.B. Verhaaren, Slowly rotating Q-balls, Eur. Phys. J. C 84 (2024) 364 [arXiv:2302.11589] [INSPIRE]. · DOI · Paper page
  62. F.E. Schunck and E.W. Mielke, Rotating boson stars, in Relativity and scientific computing: computer algebra, numerics, visualization, F.W. Hehl, R.A. Puntigam and H. Ruder eds., Springer, Berlin, Heidelberg, Germany (1996), p. 138–151 [https://doi.org/10.1007/978-3-642-95732-1_7]. · DOI
  63. F.E. Schunck and E.W. Mielke, Rotating boson star as an effective mass torus in general relativity, Phys. Lett. A 249 (1998) 389 [INSPIRE]. · DOI
  64. E. Radu and M.S. Volkov, Existence of stationary, non-radiating ring solitons in field theory: knots and vortons, Phys. Rept. 468 (2008) 101 [arXiv:0804.1357] [INSPIRE]. · DOI
  65. E. Radu and M.S. Volkov, Spinning electroweak sphalerons, Phys. Rev. D 79 (2009) 065021 [arXiv:0810.0908] [INSPIRE]. · DOI
  66. F. Kling, A. Rajaraman and F.L. Rivera, New solutions for rotating boson stars, Phys. Rev. D 103 (2021) 075020 [arXiv:2010.09880] [INSPIRE]. · DOI
  67. V. Silveira and C.M.G. de Sousa, Boson star rotation: a Newtonian approximation, Phys. Rev. D 52 (1995) 5724 [astro-ph/9508034] [INSPIRE]. · DOI
  68. B. Kleihaus, J. Kunz and M. List, Rotating boson stars and Q-balls, Phys. Rev. D 72 (2005) 064002 [gr-qc/0505143] [INSPIRE]. · DOI
  69. B. Kleihaus, J. Kunz, M. List and I. Schaffer, Rotating boson stars and Q-balls. II. Negative parity and ergoregions, Phys. Rev. D 77 (2008) 064025 [arXiv:0712.3742] [INSPIRE]. · DOI
  70. B. Hartmann, B. Kleihaus, J. Kunz and M. List, Rotating boson stars in 5 dimensions, Phys. Rev. D 82 (2010) 084022 [arXiv:1008.3137] [INSPIRE]. · DOI
  71. B. Kleihaus, J. Kunz and S. Schneider, Stable phases of boson stars, Phys. Rev. D 85 (2012) 024045 [arXiv:1109.5858] [INSPIRE]. · DOI
  72. S.L. Liebling and C. Palenzuela, Dynamical boson stars, Living Rev. Rel. 26 (2023) 1 [arXiv:1202.5809] [INSPIRE]. · DOI
  73. S. Davidson and T. Schwetz, Rotating drops of axion dark matter, Phys. Rev. D 93 (2016) 123509 [arXiv:1603.04249] [INSPIRE]. · DOI
  74. C. Herdeiro, I. Perapechka, E. Radu and Y. Shnir, Asymptotically flat spinning scalar, Dirac and Proca stars, Phys. Lett. B 797 (2019) 134845 [arXiv:1906.05386] [INSPIRE]. · DOI
  75. L.G. Collodel, B. Kleihaus and J. Kunz, Structure of rotating charged boson stars, Phys. Rev. D 99 (2019) 104076 [arXiv:1901.11522] [INSPIRE]. · DOI
  76. J.F.M. Delgado, C.A.R. Herdeiro and E. Radu, Rotating axion boson stars, JCAP 06 (2020) 037 [arXiv:2005.05982] [INSPIRE]. · DOI
  77. A.S. Dmitriev et al., Instability of rotating Bose stars, Phys. Rev. D 104 (2021) 023504 [arXiv:2104.00962] [INSPIRE]. · DOI
  78. R. Gervalle, Chains of rotating boson stars, Phys. Rev. D 105 (2022) 124052 [arXiv:2206.03982] [INSPIRE]. · DOI
  79. N. Siemonsen and W.E. East, Binary boson stars: merger dynamics and formation of rotating remnant stars, Phys. Rev. D 107 (2023) 124018 [arXiv:2302.06627] [INSPIRE]. · DOI
  80. M.S. Volkov and E. Wohnert, Spinning Q balls, Phys. Rev. D 66 (2002) 085003 [hep-th/0205157] [INSPIRE]. · DOI
  81. Y. Brihaye and B. Hartmann, Interacting Q-balls, Nonlinearity 21 (2008) 1937 [arXiv:0711.1969] [INSPIRE]. · DOI
  82. Y. Brihaye and B. Hartmann, Angularly excited and interacting boson stars and Q-balls, Phys. Rev. D 79 (2009) 064013 [arXiv:0812.3968] [INSPIRE]. · DOI
  83. Y. Brihaye, T. Caebergs, B. Hartmann and M. Minkov, Symmetry breaking in (gravitating) scalar field models describing interacting boson stars and Q-balls, Phys. Rev. D 80 (2009) 064014 [arXiv:0903.5419] [INSPIRE]. · DOI · Paper page
  84. L. Campanelli and M. Ruggieri, Spinning supersymmetric Q-balls, Phys. Rev. D 80 (2009) 036006 [arXiv:0904.4802] [INSPIRE]. · DOI
  85. Y. Brihaye, T. Caebergs and T. Delsate, Charged-spinning-gravitating Q-balls, arXiv:0907.0913 [INSPIRE]. · arXiv
  86. Y. Shnir, Q-vortices, Q-walls and coupled Q-balls, J. Phys. A 44 (2011) 425202 [arXiv:1101.5366] [INSPIRE]. · DOI
  87. Y. Brihaye and F. Buisseret, Q-ball formation at the deconfinement temperature in large-Nc QCD, Phys. Rev. D 87 (2013) 014020 [arXiv:1205.1893] [INSPIRE]. · DOI
  88. E. Radu and B. Subagyo, Spinning scalar solitons in anti-de Sitter spacetime, Phys. Lett. B 717 (2012) 450 [arXiv:1207.3715] [INSPIRE]. · DOI
  89. Z. Khaidukov, Q-balls and the chiral vortical effect, arXiv:1306.0252 [INSPIRE]. · arXiv
  90. Y. Brihaye and T. Delsate, Gravitating Q-tubes and cylindrical spacetime, arXiv:1306.4011 [INSPIRE]. · arXiv
  91. B. Kleihaus, J. Kunz, E. Radu and B. Subagyo, Axially symmetric static scalar solitons and black holes with scalar hair, Phys. Lett. B 725 (2013) 489 [arXiv:1306.4616] [INSPIRE]. · DOI
  92. E. Nugaev and A. Shkerin, Investigation of Q-tubes stability using the piecewise parabolic potential, Phys. Rev. D 90 (2014) 016002 [arXiv:1404.3207] [INSPIRE]. · DOI
  93. C. Herdeiro, E. Radu and H. Runarsson, Non-linear Q-clouds around Kerr black holes, Phys. Lett. B 739 (2014) 302 [arXiv:1409.2877] [INSPIRE]. · DOI
  94. V. Loiko, I. Perapechka and Y. Shnir, Q-balls without a potential, Phys. Rev. D 98 (2018) 045018 [arXiv:1805.11929] [INSPIRE]. · DOI
  95. V. Loiko and Y. Shnir, Q-balls in the U (1) gauged Friedberg-Lee-Sirlin model, Phys. Lett. B 797 (2019) 134810 [arXiv:1906.01943] [INSPIRE]. · DOI
  96. A.Y. Loginov and V.V. Gauzshtein, Radially and azimuthally excited states of a soliton system of vortex and Q-ball, Eur. Phys. J. C 80 (2020) 1123 [arXiv:2009.12818] [INSPIRE]. · DOI
  97. V. Loiko, I. Perapechka and Y. Shnir, Q-chains in the U (1) gauged Friedberg-Lee-Sirlin model, EPL 133 (2021) 41001 [arXiv:2012.01052] [INSPIRE]. · DOI
  98. J.L. Blázquez-Salcedo et al., Probing the Ellis-Bronnikov wormhole geometry with a scalar field: clouds, waves and Q-balls, Phys. Lett. B 827 (2022) 136993 [arXiv:2204.05244] [INSPIRE]. · DOI
  99. P.M. Saffin, Q.-X. Xie and S.-Y. Zhou, Q-ball superradiance, Phys. Rev. Lett. 131 (2023) 111601 [arXiv:2212.03269] [INSPIRE]. · DOI
  100. G.-D. Zhang et al., Spinning Q-ball superradiance in 3+1D, Phys. Rev. D 110 (2024) 043504 [arXiv:2402.03193] [INSPIRE]. · DOI
  101. S.-Y. Zhou, Non-topological solitons and quasi-solitons, Rept. Prog. Phys. 88 (2025) 046901 [arXiv:2411.16604] [INSPIRE]. · DOI
  102. C. Brumelot and L. Medina, Existence of ground state and excited spinning Q-vortex solitons on finite domains, arXiv:2602.07676. · arXiv
  103. H. Arodz, J. Karkowski and Z. Swierczynski, Spinning Q-balls in the complex signum-Gordon model, Phys. Rev. D 80 (2009) 067702 [arXiv:0907.2801] [INSPIRE]. · DOI
  104. Y. Galushkina, E. Kim, E. Nugaev and Y. Shnir, CFT approach to rotating field lumps in an attractive potential, Phys. Rev. D 112 (2025) 076019 [arXiv:2507.10152] [INSPIRE]. · DOI
  105. Y. Galushkina, E. Kim, E. Nugaev and Y. Shnir, Generalized models for spinning field lumps on plane, JHEP 04 (2026) 136 [arXiv:2511.16210] [INSPIRE]. · DOI
  106. I. Ivashkin, E. Kim, E. Nugaev and Y. Shnir, Towards spinning U(1) gauged non-topological solitons in the model with Chern–Simons term, Phys. Lett. B 873 (2026) 140229 [arXiv:2511.18908] [INSPIRE]. · DOI
  107. K.-M. Lee, J.A. Stein-Schabes, R. Watkins and L.M. Widrow, Gauged Q-balls, Phys. Rev. D 39 (1989) 1665 [INSPIRE]. · DOI
  108. I.E. Gulamov, E.Y. Nugaev, A.G. Panin and M.N. Smolyakov, Some properties of U(1) gauged Q-balls, Phys. Rev. D 92 (2015) 045011 [arXiv:1506.05786] [INSPIRE]. · DOI
  109. J. Heeck, A. Rajaraman, R. Riley and C.B. Verhaaren, Mapping gauged Q-balls, Phys. Rev. D 103 (2021) 116004 [arXiv:2103.06905] [INSPIRE]. · DOI
  110. H. Arodz and J. Lis, Compact Q-balls and Q-shells in a scalar electrodynamics, Phys. Rev. D 79 (2009) 045002 [arXiv:0812.3284] [INSPIRE]. · DOI
  111. H. Ishihara and T. Ogawa, Variety of nontopological solitons in a spontaneously broken U(1) gauge theory: dust balls, shell balls, and potential balls, Phys. Rev. D 103 (2021) 123029 [arXiv:2103.13732] [INSPIRE]. · DOI
  112. J. Heeck, A. Rajaraman and C.B. Verhaaren, Ubiquity of gauged Q-shells, Phys. Rev. D 104 (2021) 016030 [arXiv:2105.02893] [INSPIRE]. · DOI
  113. J. Heeck, A. Rajaraman, R. Riley and C.B. Verhaaren, Proca Q-balls and Q-shells, JHEP 10 (2021) 103 [arXiv:2107.10280] [INSPIRE]. · DOI
  114. P. Klimas, N. Sawado and S. Yanai, Nodal compact Q-ball and Q-shell in the CPN nonlinear sigma model, Phys. Rev. D 105 (2022) 085004 [arXiv:2201.09239] [INSPIRE]. · DOI
  115. M. Axenides, S. Komineas, L. Perivolaropoulos and M. Floratos, Dynamics of nontopological solitons: Q balls, Phys. Rev. D 61 (2000) 085006 [hep-ph/9910388] [INSPIRE]. · DOI
  116. R. Battye and P. Sutcliffe, Q-ball dynamics, Nucl. Phys. B 590 (2000) 329 [hep-th/0003252] [INSPIRE]. · DOI
  117. Y.M. Bunkov and G.E. Volovik, Magnons condensation into Q-ball in 3He-B, Phys. Rev. Lett. 98 (2007) 265302 [cond-mat/0703183] [INSPIRE]. · arXiv
  118. M. Axenides, E. Floratos, S. Komineas and L. Perivolaropoulos, Metastable ringlike semitopological solitons, Phys. Rev. Lett. 86 (2001) 4459 [hep-ph/0101193] [INSPIRE]. · DOI
  119. T. Tamaki and N. Sakai, Unified pictures of Q-balls and Q-tubes, Phys. Rev. D 86 (2012) 105011 [arXiv:1208.4440] [INSPIRE]. · DOI
  120. J. Heeck, A. Rajaraman, R. Riley and C.B. Verhaaren, Understanding Q-balls beyond the thin-wall limit, Phys. Rev. D 103 (2021) 045008 [arXiv:2009.08462] [INSPIRE]. · DOI · Paper page
  121. M.I. Tsumagari, E.J. Copeland and P.M. Saffin, Some stationary properties of a Q-ball in arbitrary space dimensions, Phys. Rev. D 78 (2008) 065021 [arXiv:0805.3233] [INSPIRE]. · DOI
  122. M. Laine and M.E. Shaposhnikov, Thermodynamics of nontopological solitons, Nucl. Phys. B 532 (1998) 376 [hep-ph/9804237] [INSPIRE]. · DOI
  123. E.Y. Nugaev and A.V. Shkerin, Review of nontopological solitons in theories with U (1)-symmetry, J. Exp. Theor. Phys. 130 (2020) 301 [arXiv:1905.05146] [INSPIRE]. · DOI
  124. F. Kling and A. Rajaraman, Profiles of boson stars with self-interactions, Phys. Rev. D 97 (2018) 063012 [arXiv:1712.06539] [INSPIRE]. · DOI
  125. T.A. Ioannidou and N.D. Vlachos, On the Q ball profile function, J. Math. Phys. 44 (2003) 3562 [hep-th/0302031] [INSPIRE]. · DOI
  126. T.A. Ioannidou, A. Kouiroukidis and N.D. Vlachos, Universality in a class of Q-ball solutions: an analytic approach, J. Math. Phys. 46 (2005) 042306 [hep-th/0405209] [INSPIRE]. · DOI
  127. Q. Chen, Hydrodynamic and Rayleigh-Plateau instabilities of Q strings, Phys. Rev. Lett. 134 (2025) 211603 [arXiv:2412.09815] [INSPIRE]. · DOI
  128. J. Heeck and M. Sokhashvili, Q-balls in polynomial potentials, Phys. Rev. D 107 (2023) 016006 [arXiv:2211.00021] [INSPIRE]. · DOI
  129. Y. Almumin, J. Heeck, A. Rajaraman and C.B. Verhaaren, Excited Q-balls, Eur. Phys. J. C 82 (2022) 801 [arXiv:2112.00657] [INSPIRE]. · DOI
  130. J.R. Espinosa, J. Heeck and M. Sokhashvili, Tunneling potential approach to Q-balls, Phys. Rev. D 108 (2023) 056019 [arXiv:2307.05667] [INSPIRE]. · DOI
  131. I.E. Gulamov, E.Y. Nugaev and M.N. Smolyakov, Analytic Q-ball solutions and their stability in a piecewise parabolic potential, Phys. Rev. D 87 (2013) 085043 [arXiv:1303.1173] [INSPIRE]. · DOI
  132. A. Rajaraman, A. Stewart and C.B. Verhaaren, Q-balls in anti–de Sitter space, Phys. Rev. D 109 (2024) 086003 [arXiv:2310.13660] [INSPIRE]. · DOI
  133. P. Virtanen et al., SciPy 1.0 — fundamental algorithms for scientific computing in Python, Nature Meth. 17 (2020) 261 [arXiv:1907.10121] [INSPIRE]. · DOI · Paper page
  134. Q. Chen, Hydrodynamic properties in soliton field theory, arXiv:2510.11244 [INSPIRE]. · arXiv
  135. Y. Hamada, K. Kawana, T.H. Kim and P. Lu, Q-balls in the presence of attractive force, JHEP 08 (2024) 242 [arXiv:2407.11115] [INSPIRE]. · DOI
  136. M. Gleiser and J. Thorarinson, Energy landscape of d-dimensional Q-balls, Phys. Rev. D 73 (2006) 065008 [hep-th/0505251] [INSPIRE]. · DOI
  137. N. Sakai and M. Sasaki, Stability of Q-balls and catastrophe, Prog. Theor. Phys. 119 (2008) 929 [arXiv:0712.1450] [INSPIRE]. · DOI · Paper page
  138. Q. Chen, L. Andersson and L. Li, Stability analysis for Q-balls with spectral method, JHEP 02 (2026) 078 [arXiv:2509.18656] [INSPIRE]. · arXiv
  139. G.-D. Zhang, S.-Y. Zhou and M.-F. Zhu, Q-ball superradiance: analytical approach, Phys. Rev. D 113 (2026) 056020 [arXiv:2510.27064] [INSPIRE]. · DOI
  140. D.C. Martínez et al., Oscillons and bubbles in Q-ball dynamics, JHEP 12 (2025) 154 [arXiv:2509.03192] [INSPIRE]. · DOI
  141. Q.-X. Xie, P.M. Saffin, A. Tranberg and S.-Y. Zhou, Quantum corrected Q-ball dynamics, JHEP 01 (2024) 165 [arXiv:2312.01139] [INSPIRE]. · DOI
  142. T.T. Dumitrescu and A.P. Gaikwad, Phases of giant magnetic vortex strings, JHEP 07 (2026) 233 [arXiv:2511.20527] [INSPIRE]. · DOI

Metadata

Authors
DeVries, B., Vassallo, F., & Verhaaren, C. B.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2026-08-13
Volume
2026
Issue
8
ISSN
1029-8479
DOI
10.1007/jhep08(2026)108
Cited by
0
Language
en
Licence
Funders
National Science Foundation (PHY-2210067)

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This page
CoChat. (2026). Citation check: Understanding the quantized angular momentum of rotating Q-balls. https://app.cochat.ai/papers/10.1007/jhep08(2026)108
The paper
DeVries, B., Vassallo, F., & Verhaaren, C. B. (2026). Understanding the quantized angular momentum of rotating Q-balls. Journal of High Energy Physics. https://doi.org/10.1007/jhep08(2026)108