Chiral gravitational effect in time-dependent backgrounds

Abstract

Gravitational counterpart of the chiral magnetic effect, which is referred as the chiral gravitational effect, can also be of interest in a cosmological setup. In this study, we investigate this effect in the time-dependent chiral asymmetric fermion background and in the expanding spacetime by formulating the effective action of gravitational waves. We also analyze the anomaly equation to see how the backreaction from gravitational waves to thermal chiral plasma occurs. We find that the non-trivial time dependence of chiral chemical potential, which can be induced in some scenarios of baryogenesis, is the key ingredient of the chiral gravitational effect. It turns out that the "memory" of the effect is imprinted on the high frequency gravitational waves propagating in the plasma. Cosmological implications and potential effects on the gravitational wave observation are briefly discussed.

25 pages, 2 figures; v3: references are added

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Cited by in corpus (10)

• Chiral effects in astrophysics and cosmology
• Tests of Gravitational-Wave Birefringence with the Open Gravitational-Wave Catalog
• Search for the birefringence of gravitational waves with the third observing run of Advanced LIGO-Virgo
• Landau damping for gravitational waves in parity-violating theories
• Gravitational memory effects in Chern-Simons modified gravity
• Polarized primordial gravitational waves in spatial covariant gravities
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Parity-violation in bouncing cosmology
• Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly
• Chiral gravitational waves from thermalized neutrinos in the early Universe