Gauge Theory of the Star Product
arXiv:0705.1785 · doi:10.1016/j.nuclphysb.2007.09.012
Abstract
The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a gauge invariant treatment, we develop tools, such as integration measures and covariant derivatives on this space. The covariant derivative can be expressed in terms of connections in the usual way giving rise to new degrees of freedom for noncommutative theories.
arXiv comment16 pages
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Cited by in corpus (10)
- Noncommutative Gravity
- Noncommutative Point Sources
- Noncommutative via closed star product
- Particle-like solutions to classical noncommutative gauge theory
- Diffeomorphism covariant star products and noncommutative gravity
- The Gribov problem in Noncommutative QED
- Moyal and tomographic probability representations for f-oscillator quantum states
- Tensor calculus on noncommutative spaces
- The Gribov problem in Noncommutative gauge theory
- f-oscillators deformation for Moyal algebras