Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces

By B. Jurčo, S. Schraml, P. Schupp, Julius Wess. 2000

281 citations recorded by the source corpus.

Abstract. An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/20d963fdeffbd9f4607024514a3ae494033f0f0d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. R. Szabo
2. B. Jurčo
3. J. Wess
4. P. Schupp
5. H. Steinacker
6. S. J. Tongeren

In Nuclear and High Energy Physics

1. R. Szabo
2. P. Schupp
3. B. Jurčo
4. A. Tureanu
5. Gheorghe Zet
6. J. Wess
7. M. Chaichian
8. S. J. Tongeren

In Statistical and Nonlinear Physics

1. R. Szabo
2. P. Schupp
3. B. Jurčo
4. A. Tureanu
5. Gheorghe Zet
6. J. Wess
7. M. Chaichian
8. S. J. Tongeren

Citations in the corpus

• Construction of non-Abelian gauge theories on noncommutative spaces (2001, background): “It is possible to find transformations representing the gauge group in the enveloping algebra that depend on the parameters and the gauge potential of the usual gauge theory only.”
• Emergent geometry and gravity from matrix models: an introduction (2010, unknown): “[58].”
• Quantum field theory on noncommutative spaces (2001, background): “Finally, aspects of the θ-expanded approach to noncommutative gauge field theory, which among other things enables a construction of noncommutative Yang-Mills theory for arbitrary gauge groups, may be found in [52].”
• Emergent gravity from noncommutative gauge theory (2007, unknown): “(25) The appropriate SW-map for general θ(y) is given by [38] A = θAb − 1 2 (Ac[Y , θAd] + AcF ) + O(θ(3)) =: θAb + A a SW,2 + O(θ (3)) (26)”
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity (2007, methodology): “µ (x, �), and they are subject to the reality conditions [8, 10, 11 ]:”
• The standard model on non-commutative space-time (2001, background): “case [1, 2 ]. An important exception is U(N) in the fundamental representation.”