Second order chiral phase transition in three flavor quantum chromodynamics?

Abstract

We calculate the renormalization group flows of all perturbatively renormalizable interactions in the three-dimensional Ginzburg-Landau potential for the chiral phase transition of three-flavor quantum chromodynamics. On the contrary to the common belief we find a fixed point in the system that is able to describe a second-order phase transition in the infrared. This shows that long-standing assumptions on the transition order might be false. If the transition is indeed of second-order, our results may hint that the axial $U(1)$ symmetry restores at the transition temperature.

arXiv comment5 pages, 1 figure

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Cited by in corpus (8)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• QCD phase transitions in the light quark chiral limit
• The chiral phase transition and the axial anomaly
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Chiral symmetry restoration in QC_2D from effective model using the functional renormalization group
• On the nature of the QCD chiral phase transition with imaginary chemical potential