skip to main content

Title: Incorporation of generalized uncertainty principle into Lifshitz field theories

In this paper, we will incorporate the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bosonic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into a non-abelian gauge theory with Lifshitz scaling. We will observe that even though the action for this theory is non-local, it is invariant under local gauge transformations. We will also perform the stochastic quantization of this Lifshitz fermionic theory based generalized uncertainty principle.
Authors:
 [1] ;  [2]
  1. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
  2. Indian Institute of Technology Gandhinagar, Ahmedabad, 382424 (India)
Publication Date:
OSTI Identifier:
22451179
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 357; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMIONS; FIELD THEORIES; GAUGE INVARIANCE; QUANTIZATION; STOCHASTIC PROCESSES; UNCERTAINTY PRINCIPLE