Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
arXiv:1408.3795 · doi:10.1016/j.aop.2015.03.022
Abstract
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.
13 pages, 0 figures, accepted for publication in Ann. Phys
References in corpus (17)
- Quantum Gravity at a Lifshitz Point
- Quantum Criticality in Heavy Fermion Metals
- Membranes at Quantum Criticality
- Universality of Quantum Gravity Corrections
- Natural extension of the Generalised Uncertainty Principle
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Lifshitz Solutions of D=10 and D=11 supergravity
- Lifshitz Gravity for Lifshitz Holography
- Renormalization of Lorentz violating theories
- Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
- Lifshitz solutions in supergravity and string theory
- Application of the Lifshitz theory to poor conductors
- Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
- Generalized uncertainty principles and quantum field theory
- Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
- Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
- Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
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