Entanglement and Thermal Entropy of Gauge Fields

Eling, Christopher; Oz , Yaron; Theisen, Stefan

doi:10.1007/JHEP11(2013)019

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Entanglement and Thermal Entropy of Gauge Fields

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Eling, Christopher
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Eling, C., Oz, Y., & Theisen, S. (2013). Entanglement and Thermal Entropy of Gauge Fields. Journal of high energy physics: JHEP, 2013(11): 019. doi:10.1007/JHEP11(2013)019.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-BF0B-7

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.