TY - JOUR
T1 - Entanglement entropy flow and the ward identity
AU - Rosenhaus, Vladimir
AU - Smolkin, Michael
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/12/24
Y1 - 2014/12/24
N2 - We derive differential equations for the flow of entanglement entropy as a function of the metric and the couplings of the theory. The variation of the universal part of entanglement entropy under a local Weyl transformation is related to the variation under a local change in the couplings. We show that this relation is, in fact, equivalent to the trace Ward identity. As a concrete application of our formalism, we express the entanglement entropy for massive free fields as a two-point function of the energy-momentum tensor.
AB - We derive differential equations for the flow of entanglement entropy as a function of the metric and the couplings of the theory. The variation of the universal part of entanglement entropy under a local Weyl transformation is related to the variation under a local change in the couplings. We show that this relation is, in fact, equivalent to the trace Ward identity. As a concrete application of our formalism, we express the entanglement entropy for massive free fields as a two-point function of the energy-momentum tensor.
UR - http://www.scopus.com/inward/record.url?scp=84919949027&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.113.261602
DO - 10.1103/PhysRevLett.113.261602
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AN - SCOPUS:84919949027
SN - 0031-9007
VL - 113
JO - Physical Review Letters
JF - Physical Review Letters
IS - 26
M1 - 261602
ER -