Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-12
Nucl.Phys.B814:594-609,2009
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 2 figures
Scientific paper
10.1016/j.nuclphysb.2009.02.003
In 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.
Casini Horacio
Huerta Marcos
Leitao Leonardo
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