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.
arXiv comment13 pages, 0 figures, accepted for publication in Ann. Phys
References in corpus (58)
- Large N Field Theories, String Theory and Gravity
- Quantum Gravity at a Lifshitz Point
- An extension problem related to the fractional Laplacian
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- Quantum Criticality in Heavy Fermion Metals
- A Generalized Uncertainty Principle in Quantum Gravity
- Adding flavor to AdS/CFT
- Gravity Duals of Lifshitz-like Fixed Points
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- On Renormalization Group Flows in Four Dimensions
- Towards the large N limit of pure N=1 super Yang Mills
- Membranes at Quantum Criticality
- Universality of Quantum Gravity Corrections
- How do Fermi liquids get heavy and die?
- The algebraic structure of the generalized uncertainty principle
- Quantum Groups, Gravity, and the Generalized Uncertainty Principle
- Nonpointlike Particles in Harmonic Oscillators
- A proposal for testing Quantum Gravity in the lab
- Minimal Length Uncertainty Relation and Hydrogen Atom
- Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- Discreteness of Space from GUP II: Relativistic Wave Equations
- The Constraints of Conformal Symmetry on RG Flows
- Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
- 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
- Quantum Criticality and Yang-Mills Gauge Theory
- 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 spacetimes from AdS null and cosmological solutions
- Some Aspects of Minimal Length Quantum Mechanics
- Gauge Theories under Incorporation of a Generalized Uncertainty Principle
- Lifshitz solutions in supergravity and string theory
- Conformal Lifshitz Gravity from Holography
- Some Aspects of Planck Scale Quantum Optics
- Application of the Lifshitz theory to poor conductors
- A class of GUP solutions in deformed quantum mechanics
- Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
- Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point
- Generalized uncertainty principles and quantum field theory
- Effect of the Generalized Uncertainty Principle on Post-Inflation Preheating
- Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
- Quantum Dynamics of the Driven and Dissipative Rabi Model
- Fermions on Lifshitz Background
- Standard Model Without Elementary Scalars And High Energy Lorentz Violation
- Electroweak Theory with a Minimal Length
- Harmonic oscillator with minimal length, minimal momentum, and maximal momentum uncertainties in SUSYQM framework
- Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
- Quantum cosmology in Hořava-Lifshitz gravity
- Temperature Correction to Casimir-Lifshitz Free Energy at Low Temperatures: Semiconductors
- Lifshitz-sector mediated SUSY breaking
- Lifshitz fermionic theories with z=2 anisotropic scaling
- Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
- Doping-induced band shifts and Lifshitz transitions in heavy-fermion metals
- Deformations of Lifshitz Holography in -dimensions
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- - Gravitational Waves - A Review on the Conceptual Foundations of Gravitational Radiation
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