TL;DR
This paper explores the role of edge modes in gauge theories, highlighting their impact on entanglement entropy and particle dynamics in gravity, revealing their fundamental importance in various physical phenomena.
Contribution
It provides a detailed analysis of how edge modes influence the interface term in the BFK formula and the contact term in entanglement entropy, as well as their role in particle dynamics in gravity theories.
Findings
Edge modes generate contact terms in entanglement entropy.
Edge modes relate to interface terms in the BFK formula.
They describe particle dynamics in gravitational theories.
Abstract
Edge modes in gauge theories, whose raison d'etre is in the nature of the test functions used for imposing the Gauss law, have implications in many physical contexts. I discuss two such cases: 1) how edge modes are related to the interface term in the BFK formula and how they generate the so-called contact term for entanglement entropy in gauge theories, 2) how they describe the dynamics of particles in generalizing the Einstein-Infeld-Hoffmann approach to particle dynamics in theories of gravity.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Cosmology and Gravitation Theories · Pulsars and Gravitational Waves Research