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The QCD phase diagram for small densities from imaginary chemical potential
Open accessAbstract
Abstract We present results on the QCD phase diagram for μ B ⩽ πT . Our simulations are performed with an imaginary chemical potential μ = iμ I for which the fermion determinant is positive. On an 8 3 ×4 lattice with 2 flavors of staggered quarks, we map out the phase diagram and identify the (pseudo-) critical temperature T c ( μ I ). For μ I / T ⩽ π /3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real μ , yielding the corresponding phase diagram for μ B ≲500 MeV. This approach provides control over systematics and avoids reweighting. We compare it with other recent work.
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Cites
Quark mass and flavour dependence of the QCD phase transition
Karsch, F., Laermann, E., & Peikert, A. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00200-0 · Cited by 492
Finite-temperature phase transition of SU(3) gauge theory onNt=4 and 6lattices
Iwasaki, Y., Kanaya, K., Yoshié, T., Hoshino, T., Shirakawa, T., Oyanagi, Y., Ichii, S., & Kawai, T. (1992) · Physical Review D · doi:10.1103/physrevd.46.4657 · Cited by 74
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The phase diagram of dense QCD
Fukushima, K., & Hatsuda, T. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/1/014001 · Cited by 961
ALICE: Physics Performance Report, Volume II
Collaboration, A., Alessandro, B., Antinori, F., Belikov, J. A., Blume, C., Dainese, A., Foka, P., Giubellino, P., Hippolyte, B., Kuhn, C., et al. (2006) · Journal of Physics G: Nuclear and Particle Physics · doi:10.1088/0954-3899/32/10/001 · Cited by 549
Thermodynamics of two flavor QCD to sixth order in quark chemical potential
Allton, C. R., Döring, M., Ejiri, S., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., & Redlich, K. (2005) · Physical Review D · doi:10.1103/physrevd.71.054508 · Cited by 489
Peláez, J. R. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.09.001 · Cited by 401
QCD phase structure at finite temperature and density
Fu, W.-J., Pawlowski, J. M., & Rennecke, F. (2020) · Physical Review D · doi:10.1103/physrevd.101.054032 · Cited by 367
Metadata
- Authors
- de Forcrand, P., & Philipsen, O.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2002-10
- Volume
- 642
- Issue
- 1-2
- Pages
- 290-306
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1963699425
- Cited by
- 735
- References
- 2
- FWCI
- 21.96
- Type
- journal article
- Language
- en
- Open access
- green
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- de Forcrand, P., & Philipsen, O. (2002). The QCD phase diagram for small densities from imaginary chemical potential. Nuclear Physics B. https://doi.org/10.1016/s0550-3213(02)00626-0
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