Entanglement entropy, planar surfaces, and spectral functions
arXiv:1407.2891 · doi:10.1007/JHEP09(2014)119
Abstract
We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a relevant operator, providing a pertrubative expansion where the terms are correlation functions in the undeformed theory. The entanglement entropy for free massive fermions and scalars easily follows. Finally, we study entanglement entropy across a plane in a background geometry that is a deformation of flat space, finding new universal terms arising from mixing of geometry and couplings of the QFT.
23 pages, 1 figure
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Cited by in corpus (9)
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- Area terms in entanglement entropy
- Holographic entanglement entropy in the nonconformal medium
- Entanglement Entropy of Annulus in Three Dimensions
- The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields