Holographic gravitational anomaly and chiral vortical effect
By K. Landsteiner, Eugenio Megías, Luis Melgar, Francisco Peña-Benítez. 2011
214 citations recorded by the source corpus.
We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional field theories with chiral fermions. We discuss the holographic renormalization and show that the gauge-gravitational Chern-Simons term does not induce new divergences. In order to cancel contributions from the extrinsic curvature at a boundary at finite distance a new type of counterterm has to be added however. This counterterm can also serve to make the Dirichlet problem well defined in case the gauge field strength vanishes on the boundary. A charged asymptotically AdS black hole is a solution to the theory and as an application we compute the chiral magnetic and chiral vortical conductivities via Kubo formulas. We find that the characteristic term proportional to T2 is present also at strong coupling and that its numerical value is not renormalized compared to the weak coupling result.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/90b5ed0ada549cf4b47d18066fa8fc468d117994
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, methodology): “This relation was conjectured to hold in general in [14] and generalized to higher (even) dimensions in [15].”
- Thermodynamics, gravitational anomalies and cones (2012, methodology): “Similarly, computations in an arbitrary free field theory of chiral fermions [26,29,32–37] (see also [24]) and in AdS5/CFT4 [38] are consistent with the relation c̃4d = −8π(2)cm , (1.”
- Anomaly inflow and thermal equilibrium (2013, background): “on calculations at weak [35] and strong coupling [50] that c̃ is related to the mixed anomaly coefficient as c̃ = −8π(2)cm .”
- Parity-violating hydrodynamics in 2 + 1 dimensions (2011, background): “found in [42,43], and later effects of a gravitational anomaly were considered in [44,45].”