Unruh-DeWitt Fermion Detector on a (1+1)-Dimensional Cylindrical Spacetime: Arbitrary Worldlines and Inequivalent Spin Structures
General Relativity and Quantum Cosmology
2016-01-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We examine an Unruh-DeWitt particle detector which couples linearly to the scalar density of a massless Dirac field on the static cylindrical quotient of the (1+1)-dimensional Minkowski spacetime, allowing the detector's motion to remain arbitrary and working to leading order in perturbation theory. We show that the detector's response distinguishes the periodic and antiperiodic spin structures, and the zero mode that is present for periodic spinors contributes to the response by a state-dependent but well defined and controllable amount.
Keywords
Cite
@article{arxiv.1601.07382,
title = {Unruh-DeWitt Fermion Detector on a (1+1)-Dimensional Cylindrical Spacetime: Arbitrary Worldlines and Inequivalent Spin Structures},
author = {Jorma Louko and Vladimir Toussaint},
journal= {arXiv preprint arXiv:1601.07382},
year = {2016}
}