Modular Hamiltonian of a chiral fermion on the torus
High Energy Physics - Theory
2019-07-18 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
We consider a chiral fermion at non-zero temperature on a circle (i.e., on a torus in the Euclidean formalism) and compute the modular Hamiltonian corresponding to a subregion of the circle. We do this by a very simple procedure based on the method of images, which is presumably generalizable to other situations. Our result is non-local even for a single interval, and even for Neveu-Schwarz boundary conditions. To the best of our knowledge, there are no previous examples of a modular Hamiltonian with this behavior.
Cite
@article{arxiv.1905.05210,
title = {Modular Hamiltonian of a chiral fermion on the torus},
author = {David Blanco and Guillem Pérez-Nadal},
journal= {arXiv preprint arXiv:1905.05210},
year = {2019}
}
Comments
6 pages, 3 figures