Unruh-DeWitt Fermion Detector on a (1+1)-Dimensional Cylindrical Spacetime: Arbitrary Worldlines and Inequivalent Spin Structures

Louko, Jorma; Toussaint, Vladimir

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.

Citation

Louko, J., & Toussaint, V. (2018). Unruh-DeWitt Fermion Detector on a (1+1)-Dimensional Cylindrical Spacetime: Arbitrary Worldlines and Inequivalent Spin Structures. In Proceedings of the 14th Marcel Grossmann Meeting on General Relativity. , (2809-2815). https://doi.org/10.1142/9789813226609_0349

• Conference Name: 14th Marcel Grossmann Meeting on General Relativity
• Start Date: Jul 12, 2015
• End Date: Jul 18, 2015
• Acceptance Date: Jan 1, 2018
• Online Publication Date: Nov 19, 2018
• Publication Date: Jan 1, 2018
• Deposit Date: Nov 19, 2018
• Publisher: World Scientific
• Peer Reviewed: Peer Reviewed
• Pages: 2809-2815
• Book Title: Proceedings of the 14th Marcel Grossmann Meeting on General Relativity
• DOI: https://doi.org/10.1142/9789813226609_0349
• Keywords: Unruh-DeWitt detectors; massless fermions; zero modes
• Public URL: https://nottingham-repository.worktribe.com/output/1215478
• Publisher URL: https://www.worldscientific.com/doi/abs/10.1142/9789813226609_0349