Thermodynamics, gravitational anomalies and cones
By K. Jensen, R. Loganayagam, A. Yarom. 2012
199 citations recorded by the source corpus.
A bstractBy studying the Euclidean partition function on a cone, we argue that pure and mixed gravitational anomalies generate a “Casimir momentum” which manifests itself as parity violating coefficients in the hydrodynamic stress tensor and charge current. The coefficients generated by these anomalies enter at a lower order in the hydrodynamic gradient expansion than would be naively expected. In 1 + 1 dimensions, the gravitational anomaly affects coefficients at zeroth order in the gradient expansion. The mixed anomaly in 3 + 1 dimensions controls the value of coefficients at first order in the gradient expansion.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/edcd8b9bab18437aa18e13f8bbb1605019d3361f
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Citations in the corpus
- Notes on Anomaly Induced Transport (2016, methodology): “A more general argument based on geometry was presented in [45] and a consistency condition based on the global gravitational anomaly was put forward in [46].”
- Anomaly inflow and thermal equilibrium (2013, methodology): “3c A FµνFρσ +cmR α βµνR β αρσ i , DνT µν cov = F µ νJ ν cov + cm 2 Dν h ǫρσαβF ρσR µν αβ i . (7.3) The constitutive relations for the current and stress tensor have been worked out in detail (see e.g [23]). Let us decompose them into irreducible representations of the rotational invariance which fixe”
- Theta, time reversal and temperature (2017, background): “variation of the functional integral should be the same as that of the four-dimensional theory. Such anomaly matching across dimensions has appeared recently in the context of hydrodynamics (see e.g. [36, 37, 38]) and supersymmetry (see e.g. [39, 40, 41]). 16 From the four-dimensional point of view,”
- Anomalous transport of Weyl fermions in Weyl semimetals (2013, methodology): “Since the effects are non-dissipative they can also be obtained from effective action approaches [45, 46] or using Ward identities [47].”
- On the coupling of Galilean-invariant field theories to curved spacetime (2014, background): “scalars on M d. There are also objects which are not quite scalars, but whose integral over M d is invariant under the symmetries of the problem up to boundary terms. Here we follow the discussion of [21], and a similar discussion may be found in [22]. Consider a current XM which is identically cons”
- Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, background): “14] and generalized to higher (even) dimensions in [15]. Evidence for the robustness of (1.11) in the context of perturbation theory was given in [16]. A non-perturbative explanation was presented in [17] (and further studied and generalized in [18],[19])by assuming some regularity properties of the”