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Entanglement and Thermal Entropy of Gauge Fields

2013/08/22 by Christopher Eling, Yaron Oz, Stefan Theisen
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep11(2013)019

17 pages

arxiv created 2013/08/22 · arxiv updated 2015/06/17

Abstract

We consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on open Einstein universe and on the static patch of de Sitter. Using the heat kernel of the vector Laplacian we resolve a discrepancy between the free field calculation and the expected Euler conformal anomaly. The resolution suggests a modification of the well known formulas for the vacuum expectation value of the spin-1 energy-momentum tensor on conformally flat space-times.

Citations