Exotic fermionic fields and minimal length
arXiv:2006.03490 · doi:10.1140/epjc/s10052-020-8313-z
Abstract
We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions.
9 pages
References in corpus (35)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Discreteness of area and volume in quantum gravity
- A Generalized Uncertainty Principle in Quantum Gravity
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Minimal Length Scale Scenarios for Quantum Gravity
- Quantum Spacetime Phenomenology
- The algebraic structure of the generalized uncertainty principle
- Nonpointlike Particles in Harmonic Oscillators
- Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
- Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
- Gravitational tests of the Generalized Uncertainty Principle
- Review on Generalized Uncertainty Principle
- Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
- Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator
- Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
- Unfolding Physics from the Algebraic Classification of Spinor Fields
- Exotic Dark Spinor Fields
- GUP Hawking fermions from MGD black holes
- Minimal Length and Generalized Dirac Equation
- Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
- Modified commutators are not sufficient to determine a quantum gravity minimal length scale
- Minimum length effects in black hole physics
- Horizon of quantum black holes in various dimensions
- GUP black hole remnants in quadratic gravity
- Renormalizability of the Dirac Equation in Torsion-Gravity with Non-Minimal Coupling
- Exotic Elko on String-Like Defects in Six Dimensions
- Polar solutions with tensorial connection of the spinor equation
- Critical exact solutions for self-gravitating Dirac fields
- Spacetime instability due to quantum gravity
- Massive fermions interacting via a harmonic oscillator in the presence of a minimal length uncertainty relation
- Higher-order theories from the minimal length
- Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra
- Exotic Spinorial Structure and Black Holes in General Relativity
- The Ultraviolet and Infrared Behavior of an Abelian Proca Model From the Viewpoint of a One-Parameter Extension of the Covariant Heisenberg Algebra
- Thermal effects of a photon gas with a deformed Heisenberg algebra
Cited by in corpus (5)
- Near horizon thermodynamics of hairy black holes from gravitational decoupling
- The generalized uncertainty principle effect in acoustic black holes
- Two-body Dirac equation in DSR: results for fermion-antifermion pairs
- Deformations in spinor bundles: Lorentz violation and further physical implications
- Foundational aspects of spinor structures and exotic spinors