Entanglement entropy in scalar field theory and ZM gauge theory on Feynman diagrams

Entanglement entropy (EE) in interacting field theories has two important issues: renormalization of UV divergences and non-Gaussianity of the vacuum. In this paper, we investigate them in the framework of the two-particle irreducible formalism. In particular, we consider EE of a half space in an in...

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Bibliographic Details
Published in:Physical review. D 2021-05, Vol.103 (10), p.1
Main Authors: Iso, Satoshi, Mori, Takato, Sakai, Katsuta
Format: Article
Language:English
Subjects:
Apexes
Entanglement
Entropy
Feynman diagrams
Field theory
Fluxes
Gauge theory
Scalars
Online Access:Get full text
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Summary:Entanglement entropy (EE) in interacting field theories has two important issues: renormalization of UV divergences and non-Gaussianity of the vacuum. In this paper, we investigate them in the framework of the two-particle irreducible formalism. In particular, we consider EE of a half space in an interacting scalar field theory. It is formulated as ZM gauge theory on Feynman diagrams: ZM fluxes are assigned on plaquettes and summed to obtain EE. Some configurations of fluxes are interpreted as twists of propagators and vertices. The former gives a Gaussian part of EE written in terms of a renormalized 2-point function while the latter reflects non-Gaussianity of the vacuum.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.105010