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2020-06-09

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cc-by (c) Espriu, D. (Domènec) et al., 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/195530

Chiral perturbation theory for nonzero chiral imbalance

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https://doi.org/10.1007/JHEP06(2020)062

Abstract

We construct the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential or chiral imbalance μ5, up to O(p4) order in the chiral expansion for two light flavours. For that purpose, we work within the Chiral Perturbation Theory framework where only pseudo-NGB fields are included, following the external source method. The O(p2) lagrangian is only modified by constant terms, while the O(p4) one includes new terms proportional to μ25 and new low-energy constants (LEC), which are renormalized and related to particular observables. In particular, we analyze the corrections to the pion dispersion relation and observables related to the vacuum energy density, namely the light quark condensate, the chiral and topological susceptibilities and the chiral charge density, providing numerical determinations of the new LEC when possible. In particular, we explore the dependence of the chiral restoration temperature Tc with μ5. An increasing Tc(μ5) is consistent with our fits to lattice data of the ChPT-based expressions. Although lattice uncertainties are still large and translate into the new LEC determination, a consistent physical description of those observables emerges from our present work, providing a theoretically robust model-independent framework for further study of physical systems where parity-breaking effects may be relevant, such as heavy-ion collisions.

Subject

Quiralitat, Pertorbació (Dinàmica quàntica)

Subject (English)

Chirality, Perturbation (Quantum dynamics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)
Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))

Citation

ESPRIU, D. (Domènec), GÓMEZ NICOLA, Angel and VIOQUE RODRÍGUEZ, Andrea. Chiral perturbation theory for nonzero chiral imbalance. Journal of High Energy Physics. 2020. Vol. 62, num. 1-40. ISSN 1126-6708. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/195530

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