Studying chiral imbalance using Chiral Perturbation Theory

Abstract

We analize the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential μ5. This result is obtained following the external source method, up to O(p4) order in the chiral expansion for two light flavours. We show that the O(p4) lagrangian includes new terms proportional to μ52 and new low-energy constants. Finally, the μ5 and temperature dependences of several observables related to the vacuum energy density are studied.

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