Quark mass function at finite temperature in real-time formalism

Tanaka, Hidekazu (Department of Physics, Rikkyo University, Tokyo 171-8501, Japan) ; Sasagawa, Shuji (Department of Physics, Rikkyo University, Tokyo 171-8501, Japan)

09 April 2019

Abstract: We investigate the properties of quark mass functions at finite temperature in quantum chromodynamics calculated by the Schwinger–Dyson equation in the real-time formalism without the instantaneous exchange approximation, in which the loop integration is performed in Minkowski space. In our model, real and imaginary parts of the mass function in the time-like momentum region are directory evaluated. We show that the imaginary part of the mass function has a positive value in some time-like momentum region below the critical temperature for chiral symmetry restoration at finite temperature, which may imply quark confinement.

Published in: PTEP 2019 (2019) 033B04
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptz013
arXiv: 1808.01777
License: CC-BY-3.0

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