Entanglement entropy of linearized gravitons on the sphere

BENEDETTI VALENTIN; CASINI HORACIO

Bariloche-Valdivia

Congreso; VIII Quantum Gravity in the Southern Cone; 2019

Instituto Balseiro - Centro de Estudios Científicos

We compute the entanglement entropy of a massless spin 2 field in a sphere in flat Minkowski space. We describe the theory with a linearized metric perturbation field and decompose it in tensor spherical harmonics. We fix the gauge such that a) the two dynamical modes for each angular momentum decouple and have the dynamics of scalar spherical modes, and b) the gauge-fixed field degrees of freedom inside the sphere represent gauge invariant operators of the theory localized in the same region. In this way the entanglement entropy turns out to be equivalent to the one of a pair of free massless scalars where the contributions of the l = 0 and l = 1 modes have been subtracted. The result for the coefficient of the universal logarithmic term is −61/45 and coincides with the one computed using the mutual information.