Entanglement entropy with background gauge fields

A bstract We study the entanglement entropy, the Rényi entropy, and the mutual (Rényi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2017; no. 8; pp. 1 - 36
Main Author Kim, Bom Soo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2017
Springer Nature B.V
SpringerOpen
Subjects
Boundary conditions
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Entanglement
Entropy
Fermions
Field Theories in Lower Dimensions
Global Symmetries
High energy physics
High temperature
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Toruses
Field Theories in Lower Dimensions
Global Symmetries
Conformal Field Theory
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Summary:A bstract We study the entanglement entropy, the Rényi entropy, and the mutual (Rényi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859 . Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist two non-trivial limits that depend on a modulus parameter and are not smoothly connected.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2017)041