Relativistic generalised uncertainty and the corrected vacuum energy
arXiv:2404.03822 · doi:10.1209/0295-5075/ad3a99
Abstract
In this short paper we make use of the recent covariant extension of the generalised uncertainty principle to study the corrections to the vacuum energy of the simplest scalar quantum field theory. We then calculate the modifications to the Casimir effect that such a correction to the vacuum energy would bring about. We emphasise that these corrections are indeed physical.
References in corpus (19)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Minimal Length Scale Scenarios for Quantum Gravity
- A proposal for testing Quantum Gravity in the lab
- Generalized Uncertainty Principle: Approaches and Applications
- Review on Generalized Uncertainty Principle
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Generalized Uncertainty Principle and Corpuscular Gravity
- Self-consistency in Theories with a Minimal Length
- Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
- Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
- The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
- Relativistic Generalized Uncertainty Principle
- Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
- Generalized uncertainty principles and quantum field theory
- GUP-based and Snyder Non-Commutative Algebras, Relativistic Particle models and Deformed Symmetries: A Unified Approach
- "Stringy" Coherent States Inspired By Generalized Uncertainty Principle
- Quantum field theory with the generalized uncertainty principle I: scalar electrodynamics
- Maximal momentum GUP leads to quadratic gravity
- Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics