Entanglement Entropy of Electromagnetic Edge Modes

William Donnelly, Aron C. Wall
2015 Physical Review Letters  
The vacuum entanglement entropy of Maxwell theory, when evaluated by standard methods, contains an unexpected term with no known statistical interpretation. We resolve this two-decades old puzzle by showing that this term is the entanglement entropy of edge modes: classical solutions determined by the electric field normal to the entangling surface. We explain how the heat kernel regularization applied to this term leads to the negative divergent expression found by Kabat. This calculation also
more » ... resolves a recent puzzle concerning the logarithmic divergences of gauge fields in 3+1 dimensions.
doi:10.1103/physrevlett.114.111603 pmid:25839259 fatcat:46vcc3hewrel3nta46ipevrtqm