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Article

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

by 1,2,*,†, 1,† and 2,†
1
V. A. Fock Department of Theoretical Physics, Saint-Petersburg State University, 199034 St. Petersburg, Russia
2
Departament de Física Quàntica i Astrofìsica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Particles 2020, 3(1), 15-22; https://doi.org/10.3390/particles3010002
Received: 12 December 2019 / Revised: 29 December 2019 / Accepted: 4 January 2020 / Published: 8 January 2020
We compare the chiral perturbation theory (ChPT) and the linear sigma model (LSM) as realizations of low energy quantum chromodynamics (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 a 0 . In the large N c count taken from QCD the correspondence of ChPT and LSM is remarkably good and provides a solid ground for the search of chiral imbalance manifestations 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. View Full-Text
Keywords: chiral imbalance; chiral perturbation theory; linear sigma model; charged pion decay in chiral medium; local parity breaking chiral imbalance; chiral perturbation theory; linear sigma model; charged pion decay in chiral medium; local parity breaking
MDPI and ACS Style

Andrianov, A.; Andrianov, V.; Espriu, D. Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium. Particles 2020, 3, 15-22. https://doi.org/10.3390/particles3010002

AMA Style

Andrianov A, Andrianov V, Espriu D. Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium. Particles. 2020; 3(1):15-22. https://doi.org/10.3390/particles3010002

Chicago/Turabian Style

Andrianov, Alexander; Andrianov, Vladimir; Espriu, Domenec. 2020. "Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium" Particles 3, no. 1: 15-22. https://doi.org/10.3390/particles3010002

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