Pion condensation in the two--flavor chiral quark model at finite baryochemical potential

TL;DR

This paper investigates pion condensation at finite baryochemical potential within a two-flavor quark model, analyzing phase boundaries and pion mass behavior using one-loop optimized perturbation theory.

Contribution

It introduces a one-loop level analysis of pion condensation in a two-flavor quark model with optimized perturbation theory, including phase boundary and pion mass studies.

Findings

Condensation onset slightly modified by one-loop corrections

Critical surface in the $bc-bI-T$ space determined

Charged pion pole masses depend on bI at one-loop level

Abstract

Pion condensation is studied at one--loop level and nonzero baryochemical potential in the framework of two flavor constituent quark model using the one--loop level optimized perturbation theory for the resummation of the perturbative series. A Landau type of analysis is presented for the investigation of the phase boundary between the pion condensed/non-condensed phases. The statement that the condensation starts at $\muI = m_{\pi}$ is slightly modified by one--loop corrections. The second order critical surface is determined and analysed in the $\muI-\muB-T$ space. The $\muI$ dependence of the one--loop level charged pion pole masses is also studied.