Hamiltonian, Path Integral and BRST Formulations of the Vector Schwinger Model with a Photon Mass Term with Faddeevian Regularization

被引：0
作者：
Usha Kulshreshtha
Daya Shankar Kulshreshtha
James P. Vary
机构：
[1] Iowa State University,Department of Physics and Astronomy
[2] University of Delhi,Department of Physics, Kirori Mal College
[3] University of Delhi,Department of Physics and Astrophysics
来源：
International Journal of Theoretical Physics | 2016年 / 55卷
关键词：
Schwinger model; Vector Schwinger model; Field theories in lower dimensions; Gauge-invariant theories; Gauge-fixing; Hamiltonian quantization; Path integral quantization; BRST quantization;
D O I：
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摘要：
Recently (in a series of papers) we have studied the vector Schwinger model with a photon mass term describing one-space one-time dimensional electrodynamics with mass-less fermions in the so-called standard regularization. In the present work, we study this model in the Faddeevian regularization (FR). This theory in the FR is seen to be gauge-non-invariant (GNI). We study the Hamiltonian and path integral quantization of this GNI theory. We then construct a gauge-invariant (GI) theory corresponding to this GNI theory using the Stueckelberg mechanism and recover the physical content of the original GNI theory from the newly constructed GI theory under some special gauge-choice. Further, we study the Hamiltonian, path integral and Becchi-Rouet-Stora and Tyutin formulations of the newly constructed GI theory under appropriate gauge-fixing conditions.
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页码：338 / 360
页数：22
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