Comparing critical regions in Polyakov-quark-meson models: Effects of flavor (two versus 2+1) under on-shell renormalization, and on-shell versus curvature-mass parameter fixing for the two-flavor case
Abstract
We compute contours of the enhanced quark number susceptibility ratio Rq, normalized by the free quark gas susceptibility, around the critical end point (CEP) using the on-shell renormalized two-flavor quark-meson (RQM) model and its two Polyakov-loop-extended variants: the Log RPQM and PolyLog-glue RPQM models, employing logarithmic and PolyLog-glue forms of the Polyakov-loop potential without and with quark back-reaction, respectively. These contours are compared with those from the curvature-mass parametrized quark-meson-with-vacuum-term (QMVT) model and its logarithmic Polyakov-loop extension (Log PQMVT) [117], to assess how different treatments of quark one-loop vacuum fluctuations affect the critical region. Although the critical fluctuation regions near the RQM/Log RPQM CEP are reduced in T-μ extent relative to the QMVT/Log PQMVT case, the higher-T, lower-μ CEP location shifts its enhanced-susceptibility domain toward higher T and lower μ. Since the σ and π curvature and pole masses differ in the RQM/Log RPQM model but coincide in QMVT/Log PQMVT, we also compare contours of the enhanced scalar susceptibility (∼ 1/mσ2) around the respective CEPs. To isolate the roles of strange flavor and the UA(1) anomaly, we compare Rq = 2, 3, 5 contours from our two-flavor RQM/Log RPQM/PolyLog-glue RPQM model calculations with the corresponding 2+1 flavor RQM/RPQM model very recent results in Ref [146].
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BibTeX
@misc{kumari2026comparing,
title = {{Comparing critical regions in Polyakov-quark-meson models: Effects of flavor (two versus 2+1) under on-shell renormalization, and on-shell versus curvature-mass parameter fixing for the two-flavor case}},
author = {Pooja Kumari and Suraj Kumar Rai and Vivek Kumar Tiwari},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28307},
eprint = {2609.28307},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28307},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Comparing critical regions in Polyakov-quark-meson models: Effects of flavor (two versus 2+1) under on-shell renormalization, and on-shell versus curvature-mass parameter fixing for the two-flavor case
AU - Pooja Kumari
AU - Suraj Kumar Rai
AU - Vivek Kumar Tiwari
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.28307
UR - https://arxiv.org/abs/2609.28307
AB - We compute contours of the enhanced quark number susceptibility ratio R_q, normalized by the free quark gas susceptibility, around the critical end point (CEP) using the on-shell renormalized two-flavor quark-meson (RQM) model and its two Polyakov-loop-extended variants: the Log RPQM and PolyLog-glue RPQM models, employing logarithmic and PolyLog-glue forms of the Polyakov-loop potential without and with quark back-reaction, respectively. These contours are compared with those from the curvature-mass parametrized quark-meson-with-vacuum-term (QMVT) model and its logarithmic Polyakov-loop extension (Log PQMVT) [117], to assess how different treatments of quark one-loop vacuum fluctuations affect the critical region. Although the critical fluctuation regions near the RQM/Log RPQM CEP are reduced in T-μ extent relative to the QMVT/Log PQMVT case, the higher-T, lower-μ CEP location shifts its enhanced-susceptibility domain toward higher T and lower μ. Since the σ and π curvature and pole masses differ in the RQM/Log RPQM model but coincide in QMVT/Log PQMVT, we also compare contours of the enhanced scalar susceptibility (∼ 1/m_σ^2) around the respective CEPs. To isolate the roles of strange flavor and the U_A(1) anomaly, we compare R_q = 2, 3, 5 contours from our two-flavor RQM/Log RPQM/PolyLog-glue RPQM model calculations with the corresponding 2+1 flavor RQM/RPQM model very recent results in Ref [146].
ER -