Anomaly inflow and thermal equilibrium

By K. Jensen, R. Loganayagam, A. Yarom. 2013

135 citations recorded by the source corpus.

A bstractUsing the anomaly inflow mechanism, we compute the flavor/Lorentz non-invariant contribution to the partition function in a background with a U(1) isometry. This contribution is a local functional of the background fields. By identifying the U(1) isometry with Euclidean time we obtain a contribution of the anomaly to the thermodynamic partition function from which hydrostatic correlators can be efficiently computed. Our result is in line with, and an extension of, previous studies on the role of anomalies in a hydrodynamic setting. Along the way we find simplified expressions for Bardeen-Zumino polynomials and various transgression formulae.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f1a3744c3718ac0291a8b86664f5b62661e5bdf9

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Relativistic magnetohydrodynamics (2017, background): “Here β0 is a constant setting the normalization of temperature, and ΛV is a gauge parameter which ensures that μ is gauge-invariant [16].”
On the coupling of Galilean-invariant field theories to curved spacetime (2014, background): “However, it turns out that these anomalous variations can be removed by the addition of a suitable local counterterm, which we compute via the transgression machinery of [45].”
Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, background): “A non-perturbative explanation was presented in [17] (and further studied and generalized in [18],[19]) by assuming some regularity properties of the partition function on background geometries with conical singularities.”
Adiabatic hydrodynamics: the eightfold way to dissipation (2015, methodology): “We now have clear picture of how to derive the constraints on them using the equilibrium partition function [3, 9–13] (for related work on anomaly induced transport we refer the reader to [14–35]).”