Lattice-data-driven specific heat and isentropic bulk modulus of SU(3) gluon matter at finite temperature
Abstract
We investigate the specific heat and isentropic bulk modulus of finite-temperature pure SU(3) gauge matter within a lattice-data-driven phenomenological framework. The equation of state is formulated in terms of a temperature-dependent effective gluon mass constrained { by lattice QCD pressure data as input, allowing the pressure}, trace anomaly, gluon number density, energy per thermally active gluonic mode, and derivative-sensitive response functions to be derived in a thermodynamically consistent manner. The resulting pressure and trace anomaly reproduce the characteristic lattice behavior across the deconfinement region, while the effective gluonic degrees of freedom increase rapidly above Tc. The normalized specific heat CV/T3 develops a pronounced enhancement in the vicinity of Tc, reflecting the rapid temperature variation of the energy density across the deconfinement region. The isentropic bulk modulus KS/T4 also rises sharply across the transition region, indicating a substantial stiffening of the equation of state. At high temperatures, both response functions gradually approach values close to their massless conformal Stefan--Boltzmann reference values, with (CV/T3)SB=32π2/15≃ 21.06 and (KS/T4)SB=32π2/135≃ 2.34. These findings indicate that the specific heat and isentropic bulk modulus provide complementary constraints on the temperature evolution of nonconformal dynamics in pure SU(3) gauge matter.
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BibTeX
@misc{shen2026latticedatadriven,
title = {{Lattice-data-driven specific heat and isentropic bulk modulus of SU(3) gluon matter at finite temperature}},
author = {Wei Shen and Zhen-Yan Lu and Muhammad Waqas and Xun Chen and Zhi-Jun Ma and Guang-Xiong Peng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.20031},
eprint = {2608.20031},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.20031},
}
RIS
TY - UNPB
TI - Lattice-data-driven specific heat and isentropic bulk modulus of SU(3) gluon matter at finite temperature
AU - Wei Shen
AU - Zhen-Yan Lu
AU - Muhammad Waqas
AU - Xun Chen
AU - Zhi-Jun Ma
AU - Guang-Xiong Peng
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2608.20031
UR - https://arxiv.org/abs/2608.20031
AB - We investigate the specific heat and isentropic bulk modulus of finite-temperature pure SU(3) gauge matter within a lattice-data-driven phenomenological framework. The equation of state is formulated in terms of a temperature-dependent effective gluon mass constrained { by lattice QCD pressure data as input, allowing the pressure}, trace anomaly, gluon number density, energy per thermally active gluonic mode, and derivative-sensitive response functions to be derived in a thermodynamically consistent manner. The resulting pressure and trace anomaly reproduce the characteristic lattice behavior across the deconfinement region, while the effective gluonic degrees of freedom increase rapidly above T_c. The normalized specific heat C_V/T^3 develops a pronounced enhancement in the vicinity of T_c, reflecting the rapid temperature variation of the energy density across the deconfinement region. The isentropic bulk modulus K_S/T^4 also rises sharply across the transition region, indicating a substantial stiffening of the equation of state. At high temperatures, both response functions gradually approach values close to their massless conformal Stefan--Boltzmann reference values, with (C_V/T^3)_SB=32π^2/15≃ 21.06 and (K_S/T^4)_SB=32π^2/135≃ 2.34. These findings indicate that the specific heat and isentropic bulk modulus provide complementary constraints on the temperature evolution of nonconformal dynamics in pure SU(3) gauge matter.
ER -