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Triangle Anomalies, Thermodynamics, and Hydrodynamics

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arxiv 1203.3599 v2 pith:JHTKV2TD submitted 2012-03-16 hep-th

classification hep-th
keywords functionsanomaliesequationshydrodynamicsanomaly-inducedchiralcomputeconductivities
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those equations yields, among other things, the chiral magnetic conductivity. We then compute zero-frequency functions in hydrodynamics and show that the consistency of the hydrodynamic theory also fixes the anomaly-induced conductivities.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly

    hep-th 2019-09 conditional novelty 6.0 of 10

    The axial anomaly implies a gapless chiral density wave that makes massless-fermion systems behave as quantum superfluids, exactly in D=2 and conditionally in D=4.

  2. Torsion and anomalies in the warped limit of Lifschitz theories

    hep-th 2019-09 conditional novelty 6.0 of 10

    The z-to-0 'warped' limit of fermionic Lifshitz theories carries an anomalous anisotropic translation symmetry, a mixed boost-translation anomaly sourced by torsion, with coefficient kappa = q^3/(32*pi^2) in four dimensions.

  3. Superfluids as Higher-form Anomalies

    hep-th 2019-08 accept novelty 6.0 of 10

    Superfluid hydrodynamics is reformulated as the hydrodynamic theory of an anomalous higher-form symmetry, whose anomaly alone guarantees the Goldstone boson.

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