TL;DR
This paper investigates the entanglement and edge modes in gauge theories, demonstrating equivalence between numerical and analytical approaches, and exploring the nature of edge modes and their relation to bulk contributions.
Contribution
It establishes the equivalence of numerical and analytical formulations for edge modes in p-forms on deformed spheres and discusses their physical interpretation and implications.
Findings
Numerical evaluation matches analytical formulations.
Edge modes appear as ghost (p-1)-forms.
Higher derivative propagation and degrees of freedom are analyzed.
Abstract
A recent numerical evaluation of the spherical universal log coefficient in the Maxwell free--energy and its decomposition into bulk and edge contributions via a bounded hyperbolic geometry mode calculation is shown to be equivalent to an existing compact formulation for --forms, at , on a conically deformed sphere. The edge mode seems to be a ghost (p-1)-form. Some numbers are given. Conformally covariant, higher derivative propagation is treated and a dynamical origin for the bulk contribution is suggested, The degrees of freedom of the Kalb--Ramond field are briefly discussed.
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Taxonomy
TopicsAdvanced MEMS and NEMS Technologies · Geophysics and Sensor Technology