Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
| Autor: | Francisco Peña Benítez, Eugenio Megias Fernandez, Eugenio Megias |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Electromagnetic field
Physics High Energy Physics - Theory Nuclear and High Energy Physics Strongly Correlated Electrons (cond-mat.str-el) Nuclear Theory High Energy Physics::Lattice FOS: Physical sciences Magnetic field Vortex Nuclear Theory (nucl-th) Gravitation AdS/CFT correspondence Condensed Matter - Strongly Correlated Electrons High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Dispersion relation Quantum electrodynamics Dissipative system Gravitational anomaly |
| Popis: | We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is performed at first and second order in the hydrodynamical expansion. We use a 5-dim holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms in the action. We reproduce at first order previous results on the anomaly induced current of a magnetic field and a vortex in a relativistic fluid, and compute at second order the anomalous and non anomalous transport coefficients by using a Weyl covariant formalism. We find a dissipative and anomalous correction to the chiral magnetic conductivity due to the time dependence of the magnetic field. We also find a new contribution from the mixed gauge-gravitational anomaly to the shear waves dispersion relation. The role played by the chiral and gravitational anomalies in other transport coefficients is discussed. 41 pages, 1 table, no figures and extra references included |
| Databáze: | OpenAIRE |
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