Construction of non-Abelian gauge theories on noncommutative spaces

By B. Jurčo, L. Moller, S. Schraml, P. Schupp, Julius Wess. 2001

351 citations recorded by the source corpus.

Abstract. We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter, the noncommutative gauge potential and fields in the fundamental representation, in powers of a parameter of the noncommutativity. This allows the explicit construction of actions for these gauge theories.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/15a356c6809ccb8549da5046d41f8ab4c8d5e6dd

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. D. Lust
2. Ralph Blumenhagen
3. O. Hohm
4. A. Uranga

In Statistical and Nonlinear Physics

1. N. Kersting
2. Y. L. Ma
3. I. Hinchliffe
4. D. Lust
5. Ralph Blumenhagen
6. O. Hohm
7. A. Uranga
8. F. Marchesano

Citations in the corpus

• Review of the phenomenology of noncommutative geometry (2002, methodology): “The result of recent work, however, claims that this is not a problem if one assumes a more complicated transformation [16, 42] based on the Seiberg-Witten map [1] to replace the naive one in (18).”
• T-duality and closed string non-commutative (doubled) geometry (2010, background): “The noncommutative gauge theory [9, 47, 48, 49] on the D-branes with F -field background has a mathematically very interesting structure, it is determined by the Moyal-Weyl star-product.”