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Schlagwörter:
High Energy Physics - Theory, hep-th
Zusammenfassung:
In this work, we perturbatively calculate the modular Hamiltonian to obtain
the entanglement entropy in a free fermion theory on a torus with three typical
deforma- tions, e.g., T\bar{T} deformation, local bilinear operator
deformation, and mass deformation. For T\bar{T} deformation, we find that the
leading order correction of entanglement entropy is proportional to the
expectation value of the undeformed modular Hamiltonian. As a check, in the
high/low-temperature limit, the entanglement entropy coincides with that
obtained by the replica trick in the literature. Following the same
perturbative strategy, we obtain the entanglement entropy of the free fermion
vacuum state up to second-order by inserting a local bilinear operator
deformation in a moving mirror set- ting. In the uniformly accelerated mirror,
the first-order and second-order correction of entanglement entropy vanishes in
the late time limit. For mass deformation, we derive the entanglement entropy
up to first-order deformation and comment on the second-order correction.
