Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories

by Dr Mohammad Hassan Vahidinia (School of Physics, IPM)

Thursday 14 Apr 2016, 11:00 → 12:00 Asia/Tehran

Seminar Room (School of Particles and Accelerators)

It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via the gauge/gravity correspondence, the recipe for computing entanglement entropy holographically should also be invariant under field redefinitions in the gravity side. We use this fact to fix the recipe for computing holographic entanglement entropy (HEE) for f(R,Rμν) theories which could be mapped to Einstein gravity. An outcome of our prescription is that the minimal surfaces for the f(R,Rμν) theories always have vanishing trace of extrinsic curvature and that the HEE may be evaluated using the Wald entropy functional. We show that similar results follows from the FPS and Dong HEE functionals, for Einstein manifold backgrounds in f(R,Rμν) theories.