The temperature dependence of the decuplet baryon masses from thermal QCD sum rules

TL;DR

This study uses thermal QCD sum rules to analyze how decuplet baryon masses change with temperature, revealing minimal variation below 0.11 GeV and a decrease above this temperature, suggesting a phase transition point.

Contribution

The paper introduces a calculation of decuplet baryon masses at finite temperature using spectral functions up to order T^8, highlighting the dominant T^4 contributions and temperature effects.

Findings

Masses are stable below 0.11 GeV temperature.

Masses decrease as temperature exceeds 0.11 GeV.

Possible hadron-quark phase transition at T_c ≥ 0.11 GeV.

Abstract

In the present work, the masses of the decuplet baryons at finite temperature are investigated using thermal QCD sum rules. Making use of the quark propagator at finite temperature, we calculate the spectral functions to $T^{8}$ order, and find that there are no contributions to the spectral functions at $T^{8}$ order and the temperature corrections mainly come from that containing $T^4$ ones. The calculations show very little temperature dependence of the masses below $T=0.11{GeV}$. While above that value, the masses decrease with increasing temperature. The results indicate that the hadron-quark phase transition temperature may be $T_c\geq0.11{GeV}$ for the decuplet bayons.