Noncommutative differential geometry and new models of gauge theory
From MaRDI portal
Publication:3483997
DOI10.1063/1.528917zbMath0704.53082OpenAlexW1987064719WikidataQ115331652 ScholiaQ115331652MaRDI QIDQ3483997
Richard Kerner, Michel Dubois-Violette, John Madore
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528917
noncommutative geometryquantum field theoryYang-Mills fieldgraded differential algebraminimal coupling
Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global differential geometry to the sciences (53C80) Exterior algebra, Grassmann algebras (15A75)
Related Items (57)
Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions ⋮ Superconnection in the spin factor approach to particle physics ⋮ Strong connections on quantum principal bundles ⋮ Submanifolds and quotient manifolds in noncommutative geometry ⋮ The Einstein action for algebras of matrix valued functions—Toy models ⋮ A partial unification model in non-commutative geometry ⋮ Noncommutative geometry and gauge theory on discrete groups ⋮ Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics ⋮ Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models ⋮ Introduction to Dubois-Violette's noncommutative differential geometry ⋮ Chirality and Dirac operator on noncommutative sphere ⋮ ADVANCES IN TERNARY AND OCTONIONIC GAUGE FIELD THEORIES ⋮ Exact partition functions for gauge theories on \(\mathbb{R}_\lambda^3\) ⋮ Exceptional quantum geometry and particle physics ⋮ Geometry of manifolds modeled on Hilbert modules ⋮ On globally non-trivial almost-commutative manifolds ⋮ Electrodynamics from noncommutative geometry ⋮ Quantum mechanics as a matrix symplectic geometry ⋮ Noncommutative differential geometry of matrix algebras ⋮ Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus ⋮ Moduli spaces of discrete gravity. I: A few points. ⋮ Octonionic Clifford algebra for the internal space of the standard model ⋮ Noncommutative \(\varepsilon \)-graded connections ⋮ Derivation-based noncommutative field theories on AF algebras ⋮ Fuzzy mass relations for the Higgs ⋮ Hypersymmetry: A ℤ3-graded generalization of supersymmetry ⋮ Exceptional quantum geometry and particle physics. II ⋮ Four-dimensional gravity on a covariant noncommutative space ⋮ A survey of spectral models of gravity coupled to matter ⋮ On the 1-loop effective action for the IKKT model and non-commutative branes ⋮ The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants ⋮ Geometry, stochastic calculus, and quantum fields in a noncommutative space–time ⋮ PARTICLE PHYSICS FROM ALMOST-COMMUTATIVE SPACETIMES ⋮ Classical bosons in a non-commutative geometry ⋮ Le langage des espaces et des groupes quantiques. (The language of quantum spaces and quantum groups) ⋮ Quantum field theory on a discrete space and noncommutative geometry ⋮ Gauge fields on noncommutative geometries with curvature ⋮ On the vacuum states for non-commutative gauge theory ⋮ Noncommutative induced gauge theory ⋮ COSMOLOGICAL MODEL WITH BORN–INFELD TYPE SCALAR FIELD ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Extending tangent bundles by an algebra bundle ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ EXAMPLES OF DERIVATION-BASED DIFFERENTIAL CALCULI RELATED TO NONCOMMUTATIVE GAUGE THEORIES ⋮ On the noncommutative geometry of the endomorphism algebra of a vector bundle ⋮ Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions ⋮ The Nonsymmetric Kaluza-Klein Theory and Modern Physics A Novel Approach ⋮ Noncommutative structure of singularities in general relativity ⋮ On the quantum Lorentz group ⋮ Differential structures on quantum principal bundles ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators ⋮ Gravity and unification: a review ⋮ \(SU(n)\)-connections and noncommutative differential geometry ⋮ GAUGE THEORY ON A FOUR-DIMENSIONAL QUANTUM SPACE ⋮ Graded differential geometry of graded matrix algebras ⋮ Quantum group gauge theory on quantum spaces ⋮ Invariant noncommutative connections
Cites Work
This page was built for publication: Noncommutative differential geometry and new models of gauge theory
