Incorporation of generalized uncertainty principle into Lifshitz field theories

Journal Article · Mon Jun 15 00:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.03.022· OSTI ID:22451179

Faizal, Mir ^[1]; Majumder, Barun ^[2]

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1. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
2. Indian Institute of Technology Gandhinagar, Ahmedabad, 382424 (India)

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.

• OSTI ID: 22451179
• Journal Information: Annals of Physics, Vol. 357; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
QUANTIZATION
STOCHASTIC PROCESSES
UNCERTAINTY PRINCIPLE