Thermal behaviors of light unflavored tensor mesons in the framework of QCD sum rule

TL;DR

This paper studies how the masses and decay constants of light tensor mesons change with temperature using QCD sum rules, revealing significant decreases near the deconfinement point.

Contribution

It provides a finite-temperature analysis of tensor mesons' properties within the QCD sum rule framework, including additional operators in the operator product expansion.

Findings

Masses decrease by 96% at deconfinement temperature.

Decay constants decrease by 6% at deconfinement temperature.

Results align with experimental data at zero temperature.

Abstract

In this study, we investigate the sensitivity of the masses and decay constants of the light $f_{2}(1270)$ and $a_{2}(1320)$ tensor mesons to the temperature using QCD sum rule approach. In our calculations, we take into account the additional operators appearing in operator product expansion at finite temperature. It is obtained that at deconfinement temperature the decay constants and masses decrease with amount of $6\%$ and $96\%$ compared to their vacuum values, respectively. Our results on the masses at zero temperature are consistent with the vacuum sum rules predictions as well as the experimental data.