Entanglement entropy for a Dirac fermion in three dimensions: vertex contribution

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dc.creatorCasini, H.
dc.creatorHuerta, M.
dc.creatorLeitao, L.
dc.date2008-11-12
dc.date.accessioned2026-07-07T12:58:51Z
dc.date.available2026-07-07T12:58:51Z
dc.descriptionIn three dimensions there is a logarithmically divergent contribution to the entanglement entropy which is due to the vertices located at the boundary of the region considered. In this work we find the corresponding universal coefficient for a free Dirac field, and extend a previous work in which the scalar case was treated. The problem is equivalent to find the conformal anomaly in three dimensional space where multiplicative boundary conditions for the field are imposed on a plane angular sector. As an intermediate step of the calculation we compute the trace of the Green function of a massive Dirac field in a two dimensional sphere with boundary conditions imposed on a segment of a great circle.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0811.1968
dc.identifierhttp://arxiv.org/abs/0811.1968
dc.identifierNucl.Phys.B814:594-609,2009
dc.identifierdoi:10.1016/j.nuclphysb.2009.02.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225384
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.titleEntanglement entropy for a Dirac fermion in three dimensions: vertex contribution
dc.typetext

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