EXAMPLES OF DERIVATION-BASED DIFFERENTIAL CALCULI RELATED TO NONCOMMUTATIVE GAUGE THEORIES
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Publication:3620091
DOI10.1142/S021988780800334XzbMath1165.81384arXiv0810.4815WikidataQ115245463 ScholiaQ115245463MaRDI QIDQ3620091
Publication date: 14 April 2009
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.4815
Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75)
Related Items (6)
Cotangent bundles for ``matrix algebras converge to the sphere ⋮ Noncommutative \(\varepsilon \)-graded connections ⋮ Derivation-based noncommutative field theories on AF algebras ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Module parallel transports in fuzzy gauge theory ⋮ Extending tangent bundles by an algebra bundle
Cites Work
- Unnamed Item
- Unnamed Item
- On the vacuum states for non-commutative gauge theory
- Noncommutative induced gauge theory
- The Weil-B.R.S. algebra of a Lie algebra and the anomalous terms in gauge theory
- \(SU(n)\)-connections and noncommutative differential geometry
- On the noncommutative geometry of the endomorphism algebra of a vector bundle
- Connections on central bimodules in noncommutative differential geometry
- Linear connections on the quantum plane
- On the first-order operators in bimodules
- Group \(\Gamma(2)\) and the fractional quantum Hall effect
- Gravity and the standard model with neutrino mixing
- Noncommutative differential calculus for Moyal subalgebras
- LINEAR CONNECTIONS ON THE TWO-PARAMETER QUANTUM PLANE
- Invariant noncommutative connections
- Noncommutative differential geometry of matrix algebras
- Noncommutative differential geometry and new models of gauge theory
- Algebras of distributions suitable for phase-space quantum mechanics. I
- The fuzzy sphere
- Modular groups, visibility diagram and quantum Hall effect
- On the noncommutative Riemannian geometry of GLq(n)
- Gamma(2) modular symmetry, renormalization group flow and the quantum hall effect
- Linear connections on matrix geometries
- Submanifolds and quotient manifolds in noncommutative geometry
- On curvature in noncommutative geometry
- Distributions and Their Hermite Expansions
- Induced gauge theory on a noncommutative space
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