Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions

Abstract

We derive the pseudoscalar condensate induced by anomaly and vorticity from the Wigner function for massive fermions in homogeneous electromagnetic fields. It has an anomaly term and a force-vorticity coupling term. As a mass effect, the pseudoscalar condensate is linearly proportional to the fermion mass in small mass expansion. By a generalization to two-flavor and three-flavor cases, the neutral pion and eta meson condensates are calculated from the Wigner function and have anomaly parts as well as force-vorticity parts, in which the anomaly part of the neutral pion condensate is consistent to the previous result. We also discuss about possible observables of the condensates in heavy ion collisions such as collective flows of neutral pions and eta mesons which may be influenced by the electromagnetic field and vorticity profiles.

RevTex 4, 14 pages, 2 figures

References in corpus (11)

• The Chiral Magnetic Effect
• Angular momentum conservation in heavy ion collisions at very high energy
• Chiral Magnetic Wave
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Polarization probes of vorticity in heavy ion collisions
• Global quark polarization in non-central $A+A$ collisions
• Charge conservation in RHIC and contributiuons to local parity violation observables
• Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions
• A consistent description of kinetic equation with triangle anomaly
• Maxwell-Chern-Simons Hydrodynamics for the Chiral Magnetic Effect

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