A novel approach to non-commutative gauge theory

DOI10.1007/JHEP08(2020)041zbMath1454.83072arXiv2004.14901OpenAlexW3104218566MaRDI QIDQ2225708

Patrizia Vitale, Vladislav G. Kupriyanov

Publication date: 10 February 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14901

zbMATH Keywords

non-commutative geometrygauge symmetry

Mathematics Subject Classification ID

Model quantum field theories (81T10) Methods of noncommutative geometry in general relativity (83C65) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items

Deformed quantum phase spaces, realizations, star products and twists ⋮ Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ Poisson gauge models and Seiberg-Witten map ⋮ Lie-Poisson gauge theories and \(\kappa\)-Minkowski electrodynamics ⋮ Poisson gauge theory ⋮ \(\kappa\)-Minkowski-deformation of U(1) gauge theory ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap. ⋮ On the L_∞ structure of Poisson gauge theory

Cites Work

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• Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom
• Twist symmetry and gauge invariance
• Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus
• Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
• Twist as a symmetry principle and the noncommutative gauge theory formulation
• Twisted gauge theories
• Derivations of the Moyal algebra and noncommutative gauge theories
• Bootstrapping non-commutative gauge theories from \(L_{\infty}\) algebras
• Deformation quantization of Poisson manifolds
• The quantum structure of spacetime of the Planck scale and quantum fields
• Noncommutative differential calculus for Moyal subalgebras
• Quantized differential forms
• Noncommutative \( {{\mathbb{R}}}^d \) via closed star product
• Noncommutative field theory on ℝ³_λ
• A hydrogen atom on curved noncommutative space
• algebras and field theory
• Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space
• TWIST TO CLOSE
• Algebraic differential calculus for gauge theories.
• Noncommutative perturbative dynamics
• The IR/UV connection in non-commutative gauge theories
• ‐Bootstrap Approach to Non‐Commutative Gauge Theories