Modular Hamiltonian of a chiral fermion on the torus

BLANCO, DAVID; PÉREZ-NADAL, GUILLEM

Physical Review D

American Physical Society

Lugar: New York; Año: 2019 vol. 100

2470-0010

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.