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Spin in quantum chromodynamics
Abstract
This article surveys the role of spin in quantum chromodynamics (QCD), tracing its manifestations from the internal structure of the nucleon to the collective dynamics of strongly interacting matter. We review the decomposition of the proton spin into the spin and orbital angular momentum of quarks and gluons and discuss the theoretical and experimental progress that has shaped our modern understanding of polarized parton structure. We then examine spin transport phenomena in hot and dense QCD matter, highlighting theoretical developments of phase structures under rotation and spin hydrodynamics theory as well as the experimental discovery of global polarization and other related phenomena. Last, we present anomalous transport and the chiral magnetic effect as paradigmatic examples of how quantum anomalies convert chirality and topology into macroscopic, nondissipative currents whose signal can be measured in experiments. Together, these topics illustrate how spin provides a unifying framework linking hadronic structure, gauge field topology, quark field chirality, and relativistic many-body dynamics in QCD.
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Research works printed but not linked: 175
- 10.1016/0370-2693(88)91523-7 · DOI · Paper page
- 10.1103/PhysRevLett.78.610 · DOI
- 10.1016/0550-3213(90)90506-9 · DOI · Paper page
- 10.1016/j.physrep.2003.08.002 · DOI · Paper page
- 10.1016/j.physrep.2005.06.002 · DOI
- 10.1146/annurev.nucl.54.070103.181302 · DOI
- J. Collins Foundations of Perturbative QCD vol. 32 (Cambridge Univ. Press 2011). · DOI
- 10.1016/S0370-1573(01)00051-5 · DOI
- R. Boussarie M. Burkardt M. Constantinou W. Detmold M. Ebert M. Engelhardt S. Fleming L. Gamberg X. Ji Z.-B. Kang C. Lee K.-F. Liu S. Liuti T. Mehen A. Metz J. Negele D. Pitonyak A. Prokudin J.-W. Qiu A. Rajan M. Schlegel P. Shanahan P. Schweitzer I. W. Stewart A. Tarasov R. Venugopalan I. Vitev F. Yuan Y. Zhao TMD handbook. arXiv:2304.03302 [hep-ph] (2023). · arXiv
- 10.1016/j.ppnp.2009.02.001 · DOI
- 10.1103/RevModPhys.85.655 · DOI
- 10.1088/1361-6633/ab0b8f · DOI
- 10.1140/epja/s10050-021-00353-7 · DOI
- 10.1038/s42254-020-00248-4 · DOI
- 10.1140/epja/i2012-12187-1 · DOI · Paper page
- 10.1140/epja/i2016-16268-9 · DOI
- 10.1038/nature23004 · DOI
- 10.1103/pj7s-9ym7 · DOI
- 10.1038/nphys3648 · DOI · Paper page
- 10.1126/science.aac6089 · DOI · Paper page
- D. Budker, T. Chupp, W. M. Snow, K. Kirch, 100 years of spin: Fundamental physics, dark matter, exotic interactions, and all that. Sci. Adv. 12, eaeh6139 (2026).
- 10.1016/S0031-8914(40)90091-X · DOI
- L. Rosenfeld, On the energy-momentum tensor. Mem. Acad. Royal Belg 18, N6 (1940).
- 10.1016/0370-1573(95)00011-5 · DOI · Paper page
- 10.1103/PhysRev.177.2426 · DOI · Paper page
- 10.1007/BF02823296 · DOI · Paper page
- 10.1016/0370-2693(88)91335-4 · DOI
- A. V. Efremov, O. V. Teryaev, On spin effects in quantum chromodynamics. Sov. J. Nucl. Phys. 36, 140 (1982).
- 10.1016/0550-3213(80)90310-7 · DOI
- 10.1016/0550-3213(92)90639-S · DOI
- 10.1103/PhysRevD.95.014033 · DOI
- 10.1007/JHEP07(2022)095 · DOI
- 10.1103/PhysRevD.95.114032 · DOI
- 10.1016/0370-1573(83)90022-4 · DOI
- 10.1016/0550-3213(86)90164-1 · DOI · Paper page
- 10.1103/PhysRevD.49.2233 · DOI
- 10.1146/annurev.nucl.010909.083629 · DOI
- 10.1103/PhysRevD.55.7114 · DOI
- 10.1007/JHEP09(2013)138 · DOI
- 10.1103/PhysRevD.69.074014 · DOI
- K. Hadjiyiannakou C. Alexandrou S. Bacchio J. Finkenrath G. Koutsou G. Spanoudis Decomposition of the proton spin from lattice QCD PoS LATTICE2021 348 (Sissa Medialab 2022). · DOI
- 10.1103/PhysRevD.98.074505 · DOI
- 10.1103/PhysRevD.98.094512 · DOI
- 10.1103/PhysRevD.101.094513 · DOI
- 10.1103/PhysRevLett.132.251904 · DOI
- 10.1103/PhysRevLett.118.102001 · DOI
- 10.1007/JHEP01(2025)146 · DOI
- 10.1007/s43673-022-00037-4 · DOI
- 10.1088/1126-6708/2007/02/093 · DOI
- 10.1140/epja/i2008-10697-y · DOI
- 10.1103/PhysRevLett.97.252001 · DOI
- 10.1103/PhysRevD.76.051106 · DOI
- 10.1103/PhysRevLett.115.092002 · DOI
- 10.1103/PhysRevD.100.052005 · DOI
- 10.1103/PhysRevD.79.012003 · DOI
- 10.1103/PhysRevD.102.032001 · DOI
- 10.1103/PhysRevLett.130.251901 · DOI
- 10.1103/PhysRevD.41.83 · DOI
- 10.1103/PhysRevD.57.5780 · DOI
- 10.1016/S0550-3213(03)00527-3 · DOI
- 10.1016/0550-3213(79)90082-8 · DOI
- 10.1016/0550-3213(92)90110-W · DOI
- 10.1103/PhysRevLett.94.012002 · DOI
- 10.1016/j.physletb.2012.09.055 · DOI
- 10.1103/PhysRevLett.107.072003 · DOI
- 10.1103/PhysRevD.82.112005 · DOI
- 10.1103/PhysRevLett.101.072001 · DOI
- 10.1103/PhysRevLett.113.012001 · DOI
- 10.1103/PhysRevD.100.114027 · DOI
- 10.1103/PhysRevLett.119.132001 · DOI
- 10.1103/PhysRevD.93.074005 · DOI
- 10.1103/PhysRevD.101.074020 · DOI
- 10.1016/j.nuclphysb.2014.08.008 · DOI
- 10.1103/PRXQuantum.4.027001 · DOI · Paper page
- D. Beck J. Carlson Z. Davoudi J. Formaggio S. Quaglioni M. Savage J. Barata T. Bhattacharya M. Bishof I. Cloet A. Delgado M. De Marco C. Fink A. Florio M. Francois D. Grabowska S. Hoogerheide M. Huang K. Ikeda M. Illa K. Joo D. Kharzeev K. Kowalski W. K. Lai K. Leach B. Loer I. Low J. Martin D. Moore T. Mehen N. Mueller J. Mulligan P. Mumm F. Pederiva R. Pisarski M. Ploskon S. Reddy G. Rupak H. Singh M. Singh I. Stetcu J. Stryker P. Szypryt S. Valgushev B. Van Devender S. Watkins C. Wilson X. Yao A. Afanasev A. B. Balantekin A. Baroni R. Bunker B. Chakraborty I. Chernyshev V. Cirigliano B. Clark S. K. Dhiman W. Du D. Dutta R. Edwards A. Flores A. Galindo-Uribarri Ronald Fernando Garcia Ruiz V. Gueorguiev F. Guo E. Hansen H. Hernandez K. Hattori P. Hauke M. Hjorth-Jensen K. Jankowski C. Johnson D. Lacroix D. Lee H.-W. Lin X. Liu F. J. Llanes-Estrada J. Looney M. Lukin A. Mercenne J. Miller E. Mottola B. Mueller B. Nachman J. Negele J. Orrell A. Patwardhan D. Phillips S. Poole I. Qualters M. Rumore T. Schaefer J. Scott R. Singh J. Vary Juan-Jose Galvez-Viruet K. Wendt H. Xing L. Yang G. Young F. Zhao Quantum information science and technology for nuclear physics. Input into U.S. long-range planning 2023. arXiv:2303.00113 [nucl-ex] (2023). · arXiv
- D. E. Kharzeev, Quantum information approach to high energy interactions. Philos. Trans. A. Math. Phys. Eng. Sci. 380, 20210063 (2022).
- A. Einstein, W. J. de Haas, Experimental proof of the existence of Ampère’s molecular currents. Proc. Kon. Akad. van Wet. Amsterdam 18, 696–711 (1915).
- 10.1126/science.42.1074.163 · DOI
- 10.1103/PhysRev.6.239 · DOI
- 10.1038/nphys3526 · DOI
- 10.1038/s41467-020-16753-0 · DOI
- 10.1103/PhysRevLett.103.191601 · DOI
- 10.1103/PhysRevLett.106.062301 · DOI
- 10.1103/PhysRevD.93.065017 · DOI
- 10.1007/978-3-030-71427-7_11 · DOI
- 10.1103/PhysRev.122.345 · DOI · Paper page
- 10.1103/PhysRevLett.117.192302 · DOI
- 10.1088/1674-1137/abae4d · DOI
- 10.1103/PhysRevD.103.094515 · DOI
- 10.1103/PhysRevLett.129.242002 · DOI
- J.-C. Yang X.-G. Huang QCD on rotating lattice with staggered fermions. arXiv:2307.05755 [hep-lat] (2023). · arXiv
- 10.1016/j.physletb.2024.138604 · DOI
- 10.1016/j.physletb.2024.138783 · DOI
- 10.1103/PhysRevC.77.024906 · DOI
- 10.1016/j.aop.2013.07.004 · DOI
- 10.1016/j.scib.2022.10.020 · DOI
- 10.1016/j.physrep.2014.02.010 · DOI
- 10.1016/j.ppnp.2019.07.001 · DOI
- 10.1103/PhysRevC.108.024902 · DOI
- 10.1140/epjc/s10052-025-15071-3 · DOI
- 10.1103/PhysRevD.97.116017 · DOI
- 10.1016/j.physletb.2019.05.040 · DOI
- 10.1016/j.physletb.2021.136346 · DOI
- 10.1103/PhysRevC.103.044906 · DOI
- 10.1088/0256-307X/38/11/116701 · DOI
- 10.1103/PhysRevD.106.096014 · DOI
- 10.1016/j.physletb.2024.138533 · DOI
- 10.1103/PhysRevLett.94.102301 · DOI
- 10.1016/j.physletb.2005.09.060 · DOI
- 10.1103/PhysRevC.94.044910 · DOI
- 10.1103/PhysRevC.93.064907 · DOI
- 10.1016/j.physrep.2020.01.005 · DOI
- 10.1103/PhysRevC.76.024915 · DOI
- 10.1103/PhysRevC.98.014910 · DOI
- 10.1103/PhysRevLett.126.162301 · DOI
- 10.1103/PhysRevC.104.L061901 · DOI
- 10.1103/PhysRevC.101.044611 · DOI
- 10.1016/j.physletb.2022.137506 · DOI
- F. Becattini J. Liao M. A. Lisa Strongly Interacting Matter under Rotation vol. 987 of Lecture Notes in Physics (Springer 2021). · DOI
- 10.1016/j.physletb.2021.136519 · DOI
- 10.1103/PhysRevLett.127.272302 · DOI
- 10.1007/JHEP07(2021)188 · DOI
- 10.1103/PhysRevLett.127.142301 · DOI
- 10.1103/PhysRevC.106.014905 · DOI
- 10.1103/PhysRevC.110.054908 · DOI
- 10.1038/s41586-022-05557-5 · DOI
- 10.1016/j.physletb.2023.137920 · DOI
- 10.1007/JHEP10(2025)094 · DOI
- D. Shen, Q. Yang, Measurement of J/ψ polarization and spin alignment in Ru+Ru and Zr+Zr collisions at sNN=200 GeV at STAR. Proc. Sci. 2023, 236 (2024).
- 10.1038/s41586-025-09920-0 · DOI
- 10.1016/j.ppnp.2022.103989 · DOI
- 10.1142/S0218301324300108 · DOI
- 10.1142/S0218301324300066 · DOI
- 10.1016/j.physletb.2005.11.075 · DOI · Paper page
- 10.1016/j.nuclphysa.2008.02.298 · DOI · Paper page
- 10.1103/PhysRevD.78.074033 · DOI · Paper page
- 10.1142/S0218301324300078 · DOI
- 10.1038/s42254-020-00254-6 · DOI
- 10.5506/APhysPolB.47.2617 · DOI · Paper page
- 10.1016/j.ppnp.2016.01.001 · DOI · Paper page
- 10.1016/0370-2693(83)91529-0 · DOI · Paper page
- 10.1103/PhysRevD.22.3067 · DOI
- 10.1007/JHEP02(2011)105 · DOI
- 10.1142/S0217751X09047570 · DOI
- 10.1103/PhysRevB.88.104412 · DOI · Paper page
- 10.1103/PhysRevC.70.057901 · DOI
- 10.1103/PhysRevLett.103.251601 · DOI
- 10.1103/PhysRevC.81.054908 · DOI · Paper page
- 10.1103/PhysRevC.83.014913 · DOI
- 10.1103/PhysRevC.81.031901 · DOI
- 10.1103/PhysRevC.83.014905 · DOI
- 10.1103/PhysRevC.81.064902 · DOI
- 10.1007/978-3-642-37305-3_19 · DOI
- 10.1088/1674-1137/41/7/072001 · DOI
- 10.1088/1674-1137/ac2a1f · DOI
- 10.1103/xk4f-wm9s · DOI
- W. Li Q. Shou F. Wang Experimental review on the chiral magnetic effect in relativistic heavy ion collisions. arXiv:2511.07358 [nucl-ex] (2026). · DOI
- 10.1088/1674-1137/42/1/011001 · DOI
- 10.1016/j.aop.2018.04.026 · DOI
- 10.1103/PhysRevLett.125.242301 · DOI
- 10.1103/PhysRevC.105.014901 · DOI
- 10.1103/PhysRevC.106.L051903 · DOI
- 10.1103/PhysRevResearch.6.L032005 · DOI
- 10.1103/PhysRevC.110.014905 · DOI
- The STAR Collaboration Charge separation measurements in Au+Au collisions at sNN=7.7−200 GeV in search of the chiral magnetic effect. arXiv:2506.00275 [nucl-ex] (2025). · arXiv
- 10.1103/PhysRevLett.128.092301 · DOI
- 10.1016/j.physletb.2023.137779 · DOI
- 10.1103/PhysRevLett.118.122301 · DOI
- 10.1103/PhysRevC.97.044912 · DOI
- 10.1016/j.physletb.2017.12.021 · DOI
- 10.1016/j.physletb.2024.138862 · DOI
- 10.1007/JHEP09(2020)160 · DOI
- 10.1016/j.physletb.2026.140672 · DOI
- 10.1103/PhysRevD.103.L071502 · DOI
- 10.1103/PhysRevD.81.114031 · DOI
Metadata
- Authors
- Deshpande, A., Kharzeev, D. E., & Liao, J.
- Venue
- Science Advances
- Published
- 2026-09-18
- Volume
- 12
- Issue
- 38
- ISSN
- 2375-2548
- Cited by
- 0
- Language
- en
- Funders
- National Science Foundation (PHY-2514992)
- U.S. Department of Energy (DE-FG02-05ER41372, DE-FG02-88ER40388, DE-SC0026415, DE-SC0012704, DE-SC0023598)
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