Divergence anomaly and Schwinger terms: Towards a consistent theory of anomalous classical fluids

Mitra, Arpan Krishna; Ghosh, Subir

doi:10.1103/physrevd.106.l041702

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Carter-lichnerowicz Equation For Uniformly Canonical Systems1

Introduction1

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2022

2024

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Cited by 5 publications

(2 citation statements)

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“…This occurs because a particular diffeomorphism along the direction of the particle current β = ϕJ β /(J • π), where ϕ(x) is an infinitesimal spacetime scalar, acts as a gauge transformation. Under such variation, (16)…”

Section: Carter-lichnerowicz Equation For Uniformly Canonical Systemsmentioning

confidence: 99%

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Anomalies in fluid dynamics: flows in a chiral background via variational principle

Abanov¹,

Wiegmann²

2022

J. Phys. A: Math. Theor.

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We study ﬂows of barotropic perfect ﬂuid under the simultaneous action of the electromagnetic ﬁeld and the axial-vector potential, the external ﬁeld conjugate to the ﬂuid helicity. We obtain the deformation of the Euler equation by the axial-vector potential and the deformations of various currents by two external ﬁelds. We show that the divergence of the vector and axial currents are controlled by the chiral anomaly known in quantum ﬁeld theories with Dirac fermions. We obtain these results by extending the variational principle for barotropic ﬂows of a perfect ﬂuid by coupling with the external axial-vector potential.

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Section: Carter-lichnerowicz Equation For Uniformly Canonical Systemsmentioning

confidence: 99%

“…For that reason, the axial-current anomaly is largely insensitive to interactions. The hydrodynamic description of relativistic fluids consistent with chiral anomalies has been studied in the last decade see references [5][6][7][8][9][10][11][12][13][14][15][16] and references therein.…”

Section: Introductionmentioning

confidence: 99%