Linear response of entanglement entropy to $T\bar{T}$ in massive QFTs

TL;DR

This paper calculates how entanglement entropy in massive quantum field theories is affected by $Tar{T}$ deformation, revealing boundary contributions and divergence behaviors for scalar and fermion fields.

Contribution

It provides the first leading-order analysis of entanglement entropy corrections due to $Tar{T}$ deformation in massive QFTs, highlighting boundary effects and divergence structures.

Findings

Boundary term dominates the correction for scalar fields.

Fermionic case exhibits a logarithmic divergence.

Scalar entanglement entropy correction is finite.

Abstract

We compute the leading correction to entanglement entropy in $T\bar{T}$ deformed massive QFTs. We show that both for massive scalar and Dirac fermion, the leading order correction to the entanglement entropy of half-space comes from the boundary of the entangling surface. For the case of massive scalar, the boundary term is finite while for massive fermion, it diverges logarithmically giving rise to an additional log-square divergence in the entanglement entropy.