https://doi.org/10.1140/epjc/s10052-015-3818-6
Regular Article - Theoretical Physics
Reducible gauge theories in very special relativity
Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India
* e-mail: sudhakerupadhyay@gmail.com
** e-mail: sudhaker@iitk.ac.in
Received:
29
September
2015
Accepted:
27
November
2015
Published online:
14
December
2015
In this paper we analyze the tensor field (reducible gauge) theories in the context of very special relativity (VSR). Particularly, we study the VSR gauge symmetry as well as VSR BRST symmetry of Kalb–Ramond and Abelian 3-form fields involving a fixed null vector. We observe that the Kalb–Ramond and Abelian 3-form fields and corresponding ghosts get masses in the VSR framework. The effective action in VSR-type axial gauge is greatly simplified compared with the VSR-type Lorenz gauge. Further, we quantize these models using a Batalin–Vilkovisy (BV) formulation in VSR.
© The Author(s), 2015