English

Entanglement and Thermal Entropy of Gauge Fields

High Energy Physics - Theory 2015-06-17 v1

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.

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Cite

@article{arxiv.1308.4964,
  title  = {Entanglement and Thermal Entropy of Gauge Fields},
  author = {Christopher Eling and Yaron Oz and Stefan Theisen},
  journal= {arXiv preprint arXiv:1308.4964},
  year   = {2015}
}

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17 pages