Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium

Research output

Abstract

We compare Chiral Perturbation Theory (ChPT) and the Linear Sigma Model (LSM) as realizations of low energy QCD for light mesons in a chirally imbalanced medium. The relations between the low-energy constants of the Chiral Lagrangian and the corresponding constants of the Linear Sigma Model are established as well as the expressions for the decay constant of π-meson in the medium and for the mass of the a0. In the large Nc count taken from QCD the correspondence of ChPT and LSM is remarkably good and give a solid ground for search of chiral imbalance manifestation in pion physics. A possible experimental detection of chiral imbalance (and therefore a phase with Local Parity Breaking) is outlined in the charged pion decays inside the fireball.
Translated title of the contributionКиральная теория возмущений в сравнении с линейной сигма моделью в среде с киральным имбалансом
Original languageEnglish
Pages (from-to)15-22
JournalParticles
Volume3
Early online date17 Dec 2019
Publication statusPublished - 8 Jan 2020

Fingerprint Dive into the research topics of 'Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium'. Together they form a unique fingerprint.

Cite this