Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature

We consider two-flavor chiral perturbation theory (\(\chi\)PT) at finite isospin chemical potential \(\mu_I\) and finite temperature \(T\). We calculate the effective potential and the quark and pion condensates as functions of \(T\) and \(\mu_I\) to next-to-leading order in the low-energy expansion...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Adhikari, Prabal, Andersen, Jens O, Mojahed, Martin A
Format: Article
Language:English
Subjects:
Chemical potential
Chiral dynamics
Condensates
Flavors
Perturbation theory
Phase diagrams
Phase transitions
Pions
Online Access:Get full text
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Summary:We consider two-flavor chiral perturbation theory (\(\chi\)PT) at finite isospin chemical potential \(\mu_I\) and finite temperature \(T\). We calculate the effective potential and the quark and pion condensates as functions of \(T\) and \(\mu_I\) to next-to-leading order in the low-energy expansion in the presence of a pionic source. We map out the phase diagram in the \(\mu_I\)--\(T\) plane. Numerically, we find that the transition to the pion-condensed phase is second order in the region of validity of \(\chi\)PT, which is in agreement with model calculations and lattice simulations. Finally, we calculate the pressure to two-loop order in the symmetric phase for nonzero \(\mu_I\) and find that \(\chi\)PT seems to be converging very well.
ISSN:2331-8422
DOI:10.48550/arxiv.2010.13655