Relativistic hydrodynamics with general anomalous charges

By Yasha Neiman, Y. Oz. 2010

233 citations recorded by the source corpus.

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the viscous order the stress-energy tensor, the charge currents and the entropy current.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9e245dab09ba69fdb27e19514ee401faf3855f80

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Citations in the corpus

Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “These terms first showed up as ‘integration constants’ of the anomaly induced transport [8, 22]; that they contribute as vectors to the partition function was first realized in [3].”
Generalized global symmetries and dissipative magnetohydrodynamics (2016, background): “It is now well understood that this form for the entropy current is not unique; for example, in the hydrodynamics of fluids with anomalous global symmetries (and thus with parity violation), the second law requires that extra terms must be added to the entropy current, resulting eventually in extra ”
Holographic gravitational anomaly and chiral vortical effect (2011, background): “Later in [46] it was shown that there are additional integration constants proportional to T 2 and T 3.”
Holographic Quantum Matter (2016, background): “Temporarily putting aside this theorem, at the hydrodynamic level, the axial anomaly causes the breakdown of charge conservation [576; 677]:”
Constraints on fluid dynamics from equilibrium partition functions (2012, background): “Upon setting C0 = 0 they agree with the generalized results of [21] (see also [4],[8]).”
Anomaly inflow and thermal equilibrium (2013, background): “where c̃ is a constant and we have dropped CPT-violating terms [8, 17, 18].”
Anomalous transport of Weyl fermions in Weyl semimetals (2013, background): “The hydrodynamic approach has been generalized in [43, 44].”
Thermodynamics, gravitational anomalies and cones (2012, methodology): “To first order in derivatives, the constitutive relations are given by [1, 10,11] P = P − ζ∇μu , E = −P + μ ∂P ∂μ + T ∂P ∂T , N = ∂P ∂μ , (1.”
(Non)-renormalization of the chiral vortical effect coefficient (2012, background): “It has been found that anomaly matching within hydrodynamics fixes the coefficents of the CME and CVE up to a single numerical coefficient [4,7].”
Notes on Anomaly Induced Transport (2016, background): “In [38, 39] it was shown that these coefficients are almost completely determined by the second law (5.”