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Nature of chiral phase transition in two-flavor QCD

2017/06/25 by K.-I. Ishikawa, K. -I. Ishikawa, Y. Iwasaki +8
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1706.08872

4 figures, 1 table. arXiv admin note: text overlap with arXiv:1704.03134

arxiv created 2017/06/25 · openalex publication_date 2017/06/25 · arxiv updated 2017/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the nature of the chiral phase transition in the massless two-flavor QCD using the renormalization group improved gauge action and the Wilson quark action on 323× 16, 243× 12, and 163× 8 lattices. We calculate the spacial and temporal propagators of the iso-triplet mesons in the pseudo-scalar (PS), scalar (S), vector (V) and axial-vector (AV) channels on the lattice of three sizes. We first verify that the RG scaling is excellently satisfied for all cases. This is consistent with the claim that the chiral phase transition is second order. Then we compare the spacial and temporal effective masses between the axial partners, i.e. PS vs S and V vs AV, on each of the three size lattices. We find the effective masses of all of six cases for the axial partners agree remarkably. This is consistent with the claim that at least Z4 subgroup of the UA(1) symmetry in addition to the SUA(2) symmetry is recovered at the chiral phase transition point.

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