2014/08/31 by Mir Faizal, Barun Majumder · 42 citations
Physics and Astronomy · #Action (physics) #Gauge theory #Invariance principle #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Quantization (signal processing) #Quantum Mechanics and Applications #Scaling #Stochastic quantization #Uncertainty principle #hep-th
paper · pdf · doi:10.1016/j.aop.2015.03.022
published in Annals of Physics 357, 49-58 (Elsevier BV) · 13 pages, 0 figures, accepted for publication in Ann. Phys
arxiv created 2015/03/23 · openalex publication_date 2015/04/08 · arxiv updated 2015/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we will incorporation the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bososnic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into an 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.