Entanglement and Thermal Entropy of Gauge Fields

Christopher Eling , Yaron Oz , Stefan Theisen

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classification ✦ hep-th

keywords entropyentanglementfieldsgaugethermalvacuumanalyzeanomaly

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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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Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity
hep-th 2026-03 unverdicted novelty 7.0

Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.