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Tbar{T}-deformed Entanglement Entropy for Integrable Quantum Field Theory

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arxiv 2306.07784 v2 pith:KJNQZFCA submitted 2023-06-13 hep-th nlin.SI

Tbar{T}-deformed Entanglement Entropy for Integrable Quantum Field Theory

classification hep-th nlin.SI
keywords formdeformedentropyaxiomsbootstrapentanglementfactorfactors
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the $T\bar{T}$-deformed entanglement entropy for integrable quantum field theories (IQFTs) using the form factor bootstrap approach. We solve the form factor bootstrap axioms for the branch-point twist fields and obtain the deformed form factors. Using these form factors, we compute the deformed von Neuman entropy up to two particle contributions. The solution of the form factor axioms is not unique. We find that for the simplest solution of the bootstrap axioms, the UV limit of the entanglement entropy takes the same form as the undeformed one, but the effective central charge is deformed. For solutions with additional CDD-like factors, we can have different behaviors. The IR corrections, which only depends on the particle spectrum is untouched.

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