Treatment of a system with explicitly broken gauge symmetries
F.A. Chishtie (Department of Space Science, Institute of Space Technology, Islamabad 44000, Pakistan); T. Hanif (Department of Theoretical Physics, University of Dhaka, Dhaka-1000, Bangladesh); D.G.C. McKeon (Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada, Department of Mathematics and Computer Science, Algoma University, Sault Ste. Marie, ON P6A 2G4, Canada)
A system in which the free part of the action possesses a gauge symmetry that is not respected by the interacting part presents problems when quantized. We illustrate how the Dirac constraint formalism can be used to address this difficulty by considering an antisymmetric tensor field interacting with a spinor field.