Gauge Generators, Transformations and Identities on a Noncommutative Space
arXiv:hep-th/0608214 · doi:10.1140/epjc/s10052-007-0280-0
Abstract
By abstracting a connection between gauge symmetry and gauge identity on a noncommutative space, we analyse star (deformed) gauge transformations with usual Leibnitz rule as well as undeformed gauge transformations with a twisted Leibnitz rule. Explicit structures of the gauge generators in either case are computed. It is shown that, in the former case, the relation mapping the generator with the gauge identity is a star deformation of the commutative space result. In the latter case, on the other hand, this result gets twisted to yield the desired map.
LaTex, 21 pages, Section 2 has been considerably expanded, 3 new references added, To appear in EPJC
References in corpus (8)
- Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
- Comments on noncommutative gravity
- Twisted Gauge Theories
- Renormalization of noncommutative U(N) gauge theories
- Twist Symmetry and Gauge Invariance
- Twist to close
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Cited by in corpus (14)
- Topics in Noncommutative Geometry Inspired Physics
- Noncommutative Differential Forms on the kappa-deformed Space
- Twisted Covariant Noncommutative Self-dual Gravity
- Gauge Theories on Deformed Spaces
- Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity
- Galilean symmetry in noncommutative Gravitational Quantum Well
- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- On the Consistency of Twisted Gauge Theory
- Twisted invariances of noncommutative gauge theories
- Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
- Structure of Constrained Systems in Lagrangian Formalism and Degree of Freedom Count
- Lagrangian generators of the Poincare gauge symmetries
- Effects of curvature and gravity from flat spacetime
- Theories on noncommutative spaces and deformed symmetries