One Loop Renormalizability of Spontaneously Broken Gauge Theory with a Product of Gauge Groups on Noncommutative Spacetime: the U(1) x U(1) Case
arXiv:hep-th/0201135 · doi:10.1088/1126-6708/2002/04/042
Abstract
A generalization of the standard electroweak model to noncommutative spacetime would involve a product gauge group which is spontaneously broken. Gauge interactions in terms of physical gauge bosons are canonical with respect to massless gauge bosons as required by the exact gauge symmetry, but not so with respect to massive ones; and furthermore they are generally asymmetric in the two sets of gauge bosons. On noncommutative spacetime this already occurs for the simplest model of U(1) x U(1). We examine whether the above feature in gauge interactions can be perturbatively maintained in this model. We show by a complete one loop analysis that all ultraviolet divergences are removable with a few renormalization constants in a way consistent with the above structure.
24 pages, figures using axodraw; version 2: a new ref item [4] added to cite efforts to all orders, typos fixed and minor rewording
References in corpus (13)
- The Standard Model on Non-Commutative Space-Time
- Construction of non-Abelian gauge theories on noncommutative spaces
- Non-renormalizability of θ-expanded noncommutative QED
- Noncommutative Gauge Field Theories: A No-Go Theorem
- Renormalization of noncommutative U(N) gauge theories
- Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
- Wilsonian Renormalization Group and the Non-Commutative IR/UV Connection
- A Cohomological Approach to the Non-Abelian Seiberg-Witten Map
- The Higgs Mechanism in Non-commutative Gauge Theories
- Hard Non-commutative Loops Resummation
- The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
- Noncommutative Linear Sigma Models
- One Loop Renormalization of Spontaneously Broken U(2) Gauge Theory on Noncommutative Spacetime