English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Quantum fluctuations of matter fields contribute to the thermal entropy ofblack holes. For free minimally-coupled scalar and spinor fields, thiscontribution is precisely the entanglement entropy. For gauge fields, Kabatfound an extra negative divergent "contact term" with no known statisticalinterpretation. We compare this contact term to a similar term that arises fornonminimally-coupled scalar fields. Although both divergences may beinterpreted as terms in the Wald entropy, we point out that the contact termfor gauge fields comes from a gauge-dependent ambiguity in Wald's formula.Revisiting Kabat's derivation of the contact term, we show that it is sensitiveto the treatment of infrared modes. To explore these infrared issues, weconsider two-dimensional compact manifolds, such as Euclidean de Sitter space,and show that the contact term arises from an incorrect treatment of zeromodes. In a manifestly gauge-invariant reduced phase space quantization, thegauge field contribution to the entropy is positive, finite, and equal to theentanglement entropy.

Do gauge fields really contribute negatively to black hole entropy?