Spin in the Worldline Path Integral in 2+1 Dimensions
High Energy Physics - Theory
2008-11-26 v2
Abstract
We construct a worldline path integral for the effective action and propagator of a Dirac field in 2+1 dimensions in an Abelian gauge field background. Integrating over an auxiliary gauge group variable we derive a worldline action depending only on , the spacetime paths. We show that that action is a combination of a kinetic term plus a spin action. The first is proportional to . The second agrees exactly with the spin action one should expect for a spin-1/2 field.
Cite
@article{arxiv.hep-th/0512081,
title = {Spin in the Worldline Path Integral in 2+1 Dimensions},
author = {C. D. Fosco and J. Sanchez-Guillen and R. A. Vazquez},
journal= {arXiv preprint arXiv:hep-th/0512081},
year = {2008}
}
Comments
23 pages, no figures. Version extended with some applications and a more detailed explanation of the classical limit