Perturbative entanglement thermodynamics for AdS spacetime:\n Renormalization

2015/07/14 by Rohit Mishra, Mishra, Rohit, Harvendra Singh +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1507.03836

Abstract

We study the effect of charged excitations in the AdS spacetime on the first\nlaw of entanglement thermodynamics. It is found that `boosted' AdS black holes\ngive rise to a more general form of first law which includes chemical potential\nand charge density. To obtain this result we have to resort to a second order\nperturbative calculation of entanglement entropy for small size subsystems. At\nfirst order the form of entanglement law remains unchanged even in the presence\nof charged excitations. But the thermodynamic quantities have to be\nappropriately `renormalized' at the second order due to the corrections. We\nwork in the perturbative regime where T_thermal\≪ T_E.\n

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