Chiral entanglement in massive quantum field theories in 1+1 dimensions

M. Lencsés, J. Viti, G. Takács

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Abstract

We determine both analytically and numerically the entanglement between chiral degrees of freedom in the ground state of massive perturbations of 1+1 dimensional conformal field theories quantised on a cylinder. Analytic predictions are obtained from a variational Ansatz for the ground state in terms of smeared conformal boundary states recently proposed by J. Cardy, which is validated by numerical results from the Truncated Conformal Space Approach. We also extend the scope of the Ansatz by resolving ground state degeneracies exploiting the operator product expansion. The chiral entanglement entropy is computed both analytically and numerically as a function of the volume. The excellent agreement between the analytic and numerical results provides further validation for Cardy’s Ansatz. The chiral entanglement entropy contains a universal O(1) term γ for which an exact analytic result is obtained, and which can distinguish energetically degenerate ground states of gapped systems in 1+1 dimensions.

Original languageEnglish
Article number177
JournalJournal of High Energy Physics
Volume2019
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

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Keywords

  • Conformal Field Theory
  • Field Theories in Lower Dimensions
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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