LAGRANGIAN FORMULATION OF A MAGNETOSTATIC FIELD IN THE PRESENCE OF A MINIMAL LENGTH SCALE BASED ON THE KEMPF ALGEBRA

DOI10.1142/S0217751X1350142XzbMath1280.81150arXiv1306.1070OpenAlexW3105671696MaRDI QIDQ5745807

S. K. Moayedi, B. Khosropour, Mohammad R. Setare

Publication date: 31 January 2014

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1070

zbMATH Keywords

quantum electrodynamicsminimal lengthgeneralized uncertainty principlenoncommutative field theoryclassical field theoriesclassical electromagnetismphenomenology of quantum gravity

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Electromagnetic interaction; quantum electrodynamics (81V10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Electromagnetic theory (general) (78A25)

Related Items (8)

\(q\)-nonlinear Schrödinger and \(q\)-nonlinear Klein-Gordon equations in the frame work of GUP ⋮ Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra ⋮ 30 years in: Quo vadis generalized uncertainty principle? ⋮ Lorentz force and ponderomotive force in the presence of a minimal length ⋮ The short-distance behavior of an Abelian Proca model based on a one-parameter extension of the covariant Heisenberg algebra ⋮ Relating renormalizability of D-dimensional higher-order electromagnetic and gravitational models to the classical potential at the origin ⋮ Plasma oscillations in a generalized Snyder space ⋮ Application of Biot–Savart law and generalized uncertainty principle

Cites Work

• Unnamed Item
• Quantum gravitational corrections to the real Klein-Gordon field in the presence of a minimal length
• Second order gauge theory
• Modified black hole thermodynamics with generalized uncertainty principle
• On theories of gravitation with higher-order field equations
• Signatures in the Planck regime
• Minimal length scale scenarios for quantum gravity
• Negative metric and the unitarity of the S-matrix
• Physics on the smallest scales: an introduction to minimal length phenomenology
• INVESTIGATIONS IN THE LEE–WICK ELECTRODYNAMICS
• Aspects of finite electrodynamics inD= 3 dimensions
• ELECTROWEAK THEORY WITH A MINIMAL LENGTH
• ELECTRODYNAMICS à la HOŘAVA
• Finite Theory of Quantum Electrodynamics
• Neutrino oscillations as a novel probe for a minimal length
• Finite axionic electrodynamics from a new non-commutative approach
• Lorentz invariance, unitarity and UV-finiteness of QFT on noncommutative spacetime
• REVIEW OF THE PHENOMENOLOGY OF NONCOMMUTATIVE GEOMETRY
• On modified Weyl–Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces
• NON-LOCAL INFLATION AROUND A LOCAL MAXIMUM
• LIMITS ON THE COUPLING CONSTANT OF HIGHER-DERIVATIVE ELECTROMAGNETISM
• Non-pointlike particles in harmonic oscillators
• Feynman path integral on the non-commutative plane
• UV divergence-free QFT on noncommutative plane
• Arthur March, Werner Heisenberg, and the search for a smallest length/Arthur March, Werner Heisenberg, et la notion de longueur minimale
• Minimal length uncertainty relation and the hydrogen atom
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• The Electromagnetic Field in Quantized Space-Time

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