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

Iso, Satoshi; Mori, Takato; Sakai, Kyosuke

doi:10.1103/physrevd.103.105010

Cited by 13 publications

(26 citation statements)

References 51 publications

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“…In addition, note that all the single twist contributions from a vertex can be written in the above 1-loop type formula, Equation (7) or Equation (12). In the case of the propagator contributions to EE, we have proved the statement by using the 2PI formalism in [42,43]. Here, we use a diagrammatic method to prove it for the vertex contributions in Appendix B.…”

Section: Vertex Contributions To Ee and Generalized 1pimentioning

confidence: 88%

“…This is the third paper in a series of our investigations on EE in interacting field theories based on the notion of the Z M gauge theory on Feynman diagrams, proposed in [42] and extended in [43]. In the previous papers, we have focused on two important contributions to EE: one from the propagators of the fundamental field and another from vertices which can be interpreted as correlations of composite operators.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we first summarize our previous works in [42,43], and then introduce a new concept of the generalized 1PI in order to unify the contributions to EE from propagators and vertices.…”

Section: Summary Of Previous Workmentioning

confidence: 99%

“…The integral in the second line reflects the property of a twisted propagator that its center coordinate is pinned at the boundary x = 0 with two loose ends. For more detailed discussions, see [42,43]. For instance, when O = [φ 2 ], the leading perturbative term is given by using the renormalized propagator G of the fundamental field φ as…”

Section: More Properties Of Vertex Contributions To Eementioning

confidence: 99%

“…In this paper, we will investigate EE in interacting field theories based on the Wilsonian picture of renormalization combined with our previous works [42,43] based on the Z M gauge theory on Feynman diagrams. In [42], we succeeded to extract two particular contributions to EE in interacting field theories: one is the Gaussian contributions written in terms of renormalized two-point correlation functions in the two-particle irreducible (2PI) formalism. Another set of important contributions comes from classical vertices, which reflects non-Gaussianity of the vacuum wave function.…”

Section: Introductionmentioning

confidence: 99%

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Wilsonian Effective Action and Entanglement Entropy

2021

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This is a continuation of our previous works on entanglement entropy (EE) in interacting field theories. In previous papers, we have proposed the notion of ZM gauge theory on Feynman diagrams to calculate EE in quantum field theories and shown that EE consists of two particular contributions from propagators and vertices. We have also shown that the purely non-Gaussian contributions from interaction vertices can be interpreted as renormalized correlation functions of composite operators. In this paper, we will first provide a unified matrix form of EE containing both contributions from propagators and (classical) vertices, and then extract further non-Gaussian contributions based on the framework of the Wilsonian renormalization group. It is conjectured that the EE in the infrared is given by a sum of all the vertex contributions in the Wilsonian effective action.

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Section: Vertex Contributions To Ee and Generalized 1pimentioning

confidence: 88%

Section: Discussionmentioning

confidence: 99%

Section: Summary Of Previous Workmentioning

confidence: 99%

Section: More Properties Of Vertex Contributions To Eementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Wilsonian Effective Action and Entanglement Entropy

2021

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Non-conformal behavior of holographic entanglement measures

Ali-Akbari

Asadi

Amrahi

2022

J. High Energ. Phys.

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We evaluate the holographic entanglement entropy, HEE, holographic mutual information, HMI, and holographic entanglement of purification, EoP, in a non-conformal model at zero and finite temperature. In order to find the analytical results we consider some specific regimes of the parameter space. We find that the non-conformal effects decrease the redefined HEE and increase the redefined HMI and EoP in the all studied regimes. On the other side, the temperature effects increase (decrease) the redefined HEE (HMI) in the all studied regimes while it has no definite effect on the redefined EoP. Finally, from the information point of view, we find that in the vicinity of the phase transition the zero temperature state is more favorable than the finite temperature one.

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The large N limit of icMERA and holography

Fernandez-Melgarejo

Molina-Vilaplana

2022

J. High Energ. Phys.

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In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large N models at strong coupling. Our results show that the 1/N quantum corrections to the Fisher information metric (interpreted as a local bond dimension of the tensor network) in an icMERA circuit, are related to quantum corrections to the minimal area surface in the Ryu-Takayanagi formula. Upon picking two different non-Gaussian entanglers to build the icMERA circuit, the results for the entanglement entropy only differ at subleading orders in 1/GN, i.e., at the structure of the quantum corrections in the bulk. The fact that the large N part of the entropy can be always related to the leading area term of the holographic calculation is very suggestive. These results, constitute the first tensor network calculations at large N and strong coupling simultaneously, pushing the field of tensor network descriptions of the emergence of dual spacetime geometries from the structure of entanglement in quantum field theory.

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

Cited by 13 publications

References 51 publications

Wilsonian Effective Action and Entanglement Entropy

Wilsonian Effective Action and Entanglement Entropy

Non-conformal behavior of holographic entanglement measures

The large N limit of icMERA and holography

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