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Main Authors: Qin, Zhi-Ying, Feng, Bo, Hou, Ya-Hui, Song, Hong-Yue, Zhang, Wen-Chao, Zheng, Hua, Mao, Shi-Jun
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.11713
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author Qin, Zhi-Ying
Feng, Bo
Hou, Ya-Hui
Song, Hong-Yue
Zhang, Wen-Chao
Zheng, Hua
Mao, Shi-Jun
author_facet Qin, Zhi-Ying
Feng, Bo
Hou, Ya-Hui
Song, Hong-Yue
Zhang, Wen-Chao
Zheng, Hua
Mao, Shi-Jun
contents We construct a hybrid equation of state (EoS) by smoothly interpolating the EoS in the hadron resonance gas at low temperatures to that in the ideal parton gas at high temperatures, and employ it to study the properties of the quantum chromodynamics (QCD) matter at a finite magnetic field and nonzero chemical potential. We find that dimensionless observables such as the entropy density $s/T^3$, the pressure $P/T^4$, the energy density $\varepsilon/T^4$, the trace anomaly $Δ= (\varepsilon - 3P)/T^4$, and the specific heat at constant volume $C_V/T^3$ are sensitive to both finite magnetic field and chemical potential. As the chemical potential increases from zero, these quantities rise in both the hadronic and quark-gluon plasma phases. In contrast, introducing a magnetic field suppresses them at low temperatures but enhances them at high temperatures. Furthermore, nonzero chemical potential and magnetic field introduce nontrivial modifications to the squared speed of sound $c_s^2$. Both effects increase $c_s^2$ close to the critical temperature while reducing it at lower temperatures. When the chemical potential and magnetic field are present simultaneously, their influences superimpose, leading to more intricate changes in the thermodynamic behavior. Finally, we compare our results with the lattice QCD data for the quadratic fluctuations of conserved charges and their correlations. The model successfully reproduces the temperature dependence of these observables at $eB=0$ and 0.04 GeV$^2$. However, at the stronger field strength $eB=0.14$ GeV$^2$, the model underestimates the magnitudes while still capturing the overall temperature trend.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11713
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle QCD matter at a finite magnetic field and nonzero chemical potential
Qin, Zhi-Ying
Feng, Bo
Hou, Ya-Hui
Song, Hong-Yue
Zhang, Wen-Chao
Zheng, Hua
Mao, Shi-Jun
High Energy Physics - Phenomenology
Nuclear Theory
We construct a hybrid equation of state (EoS) by smoothly interpolating the EoS in the hadron resonance gas at low temperatures to that in the ideal parton gas at high temperatures, and employ it to study the properties of the quantum chromodynamics (QCD) matter at a finite magnetic field and nonzero chemical potential. We find that dimensionless observables such as the entropy density $s/T^3$, the pressure $P/T^4$, the energy density $\varepsilon/T^4$, the trace anomaly $Δ= (\varepsilon - 3P)/T^4$, and the specific heat at constant volume $C_V/T^3$ are sensitive to both finite magnetic field and chemical potential. As the chemical potential increases from zero, these quantities rise in both the hadronic and quark-gluon plasma phases. In contrast, introducing a magnetic field suppresses them at low temperatures but enhances them at high temperatures. Furthermore, nonzero chemical potential and magnetic field introduce nontrivial modifications to the squared speed of sound $c_s^2$. Both effects increase $c_s^2$ close to the critical temperature while reducing it at lower temperatures. When the chemical potential and magnetic field are present simultaneously, their influences superimpose, leading to more intricate changes in the thermodynamic behavior. Finally, we compare our results with the lattice QCD data for the quadratic fluctuations of conserved charges and their correlations. The model successfully reproduces the temperature dependence of these observables at $eB=0$ and 0.04 GeV$^2$. However, at the stronger field strength $eB=0.14$ GeV$^2$, the model underestimates the magnitudes while still capturing the overall temperature trend.
title QCD matter at a finite magnetic field and nonzero chemical potential
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2602.11713