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Remarks on the chiral phase transition in chromodynamics

Pisarski, Robert D., Wilczek, Frank·1984·Physical Review D

DOI 10.1103/physrevd.29.338

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Abstract

The phase transition restoring chiral symmetry at finite temperatures is considered in a linear $\ensuremath{\sigma}$ model. For three or more massless flavors, the perturbative $\ensuremath{\epsilon}$ expansion predicts the phase transition is of first order. At high temperatures, the ${\mathrm{U}}_{A}(1)$ symmetry will also be effectively restored.

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Exploring percolation phase transition in the three-dimensional Ising model with machine learning*
Guo, R., Li, X., 王, R. 瑞. W., Chen, S., Wu, Y., & Li, Z. (2025) · Chinese Physics C · doi:10.1088/1674-1137/adaa59 · Cited by 2
Net proton number cumulants from viscous hydrodynamics with an equation of state including a critical end point
Shen, Y., Chen, W., Wu, X., Xu, K., & Huang, M. (2025) · Physical Review C · doi:10.1103/physrevc.111.014916 · Cited by 2
Lattice gradient flows (de-)stabilizing topological sectors
Tanizaki, Y., Tomiya, A., & Watanabe, H. (2025) · Journal of High Energy Physics · doi:10.1007/jhep04(2025)123 · Cited by 2
“Moreover, the property of the anomalously-broken U (1) A symmetry significantly affects the finite-temperature QCD phase diagram in the chiral limit [1], and it is crucial to understand gauge topologies correctly for uncovering those phenomena in the first-principle nonperturbative computations.”
Comparison of chiral limit studies in a curvature mass versus on-shell renormalized quark-meson model using ChPT
Tiwari, V. K. (2025) · Physical review. D/Physical review. D. · doi:10.1103/9zzh-d65x · Cited by 2
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Behera, N. K., Nayak, R., & Dash, S. (2020) · Physical Review C · doi:10.1103/physrevc.101.064903 · Cited by 2
The role of strangeness in chiral and $$U(1)_A$$ restoration
Nicola, Á. G., de Elvira, J. R., Vioque-Rodríguez, A., & Álvarez-Herrero, D. (2021) · The European Physical Journal C · doi:10.1140/epjc/s10052-021-09458-1 · Cited by 2
Imprint of chiral symmetry restoration on the Polyakov loop and the heavy quark free energy
Clarke, D. A., Kaczmarek, O., Karsch, F., Lahiri, A., & Sarkar, M. (2022) · International Symposium on Lattice Field Theory (LATTICE) · doi:10.22323/1.396.0184 · Cited by 2
“In the continuum limit with two light ﬂavors, the chiral phase transition is expected to fall in the O ( 4 ) universality class [11], and while this is not known with absolute certainty, recent lattice calculations present evidence favoring this scenario [12, 13].”
Background
On the Temperature Dependence of the String-Breaking Distance in QCD
Антонов, Д. В. (2023) · Universe · doi:10.3390/universe9020097 · Cited by 2
Universality and Scaling at the chiral transition in two-flavor QCD at finite temperature
Mendes, T. (2008) · International Symposium on Lattice Field Theory (LATTICE) · doi:10.22323/1.042.0208 · Cited by 2
Lattice QCD and the Phase Diagram of Quantum Chromodynamics Theory of Strongly Interacting Matter
Fodor, Z., & Katz, S. D. (2010) · Numerical data and functional relationships in science and technology. Group I, Elementary particles, nuclei and atoms · doi:10.1007/978-3-642-01539-7_3 · Cited by 2
“[3–8, 45–48]).”
Background

Authors: Pisarski, R. D., & Wilczek, F.
Affiliations: University of California, Santa Barbara (US)
ORCID: Pisarski, Robert D.
Wilczek, Frank
Venue: Physical Review D
Publisher: American Physical Society (APS)
Published: 1984-01-15
Volume: 29
Issue: 2
Pages: 338-341
ISSN: 0556-2821 (ISSN-L)
DOI: 10.1103/physrevd.29.338
OpenAlex: W2107120226
Cited by: 1,252
References: 23
Citations by year: 2026: 33 · 2025: 41 · 2024: 51 · 2023: 57 · 2022: 69 · 2021: 54 · 2020: 47 · 2019: 57 · 2018: 28 · 2017: 40 · 2016: 42 · 2015: 36 · 2014: 34 · 2013: 40 · 2012: 43
FWCI: 9.58
Type: journal article
Language: en
Open access: closed
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
Topics: Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords: chiral phase transition, chiral symmetry restoration, linear sigma model, epsilon expansion, first-order phase transition, finite temperature, massless fermions, QCD

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Remarks on the chiral phase transition in chromodynamics

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