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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/178181
Chiral perturbation theory vs. linear sigma model in a chiral imbalance medium
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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 a0. In the large Nc 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.
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ANDRIANOV, Alexander A., ANDRIANOV, Vladimir A. and ESPRIU, D. (Domènec). Chiral perturbation theory vs. linear sigma model in a chiral imbalance medium. Particles. 2020. Vol. 3, num. 1, pags. 15-22. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/178181