Derivations of the Moyal algebra and noncommutative gauge theories.

Wallet, Jean-Christophe

Displaying similar documents to “Derivations of the Moyal algebra and noncommutative gauge theories.”

On the origin of the harmonic term in noncommutative quantum field theory.

De Goursac, Axel (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Integral calculus on $E_{q}$ (2).

Brzeziński, Tomasz (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

One-loop calculations and detailed analysis of the localized non-commutative $p^{- 2} U (1)$ gauge model.

Blaschke, Daniel N., Rofner, Arnold, Sedmik, René I.P. (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

Similarity:

Let $M$ be a differential manifold. Let $Φ$ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from $Φ$ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on $C^{\infty} (M)$ and its cohomology $(Γ (M, Λ T M), {[-, -]}_{S}$ ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on $G_{\infty}$ -structures, explanation...

$q$ -deformed KP hierarchy and $q$ -deformed constrained KP hierarchy.

He, Jingsong, Li, Yinghua, Cheng, Yi (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Differential calculus on 'non-standard' (h-deformed) Minkowski spaces

José de Azcárraga, Francisco Rodenas (1997)

Banach Center Publications

Similarity:

The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.

Representation of a gauge group as motions of a Hilbert space

Clara Lucía Aldana Domínguez (2004)

Annales mathématiques Blaise Pascal

Similarity:

This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject. In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered...

PBW and duality theorems for quantum groups and quantum current algebras.

Enriquez, Benjamin (2003)

Journal of Lie Theory

Similarity:

Extension of the Poincaré symmetry and its field theoretical implementation.

Tanasă, Adrian (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity: