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We investigate the noncommutative analogue of the spontaneously broken linear sigma model at the one-loop quantum level. In the commutative case, renormalization of a theory with a spontaneously broken continuous global symmetry depends on cancellations that enable the limited set of counterterms consistent with that symmetry to remove the divergences even… (More)

- K. Kaminsky, G. Boetticher
- IEEE Annual Meeting of the Fuzzy Information…
- 2004

There has been extensive research in the area of data mining over the last decade, but relatively little research in algorithmic mining. Some researchers shun the idea of incorporating explicit knowledge with a Genetic Program environment. At best, very domain specific knowledge is hard wired into the GP modeling process. This work proposes a new approach… (More)

Noncommutative Chern-Simons theory can be classically mapped to commutative Chern-Simons theory by the Seiberg-Witten map. We provide evidence that the equivalence persists at the quantum level by computing two and three-point functions of field strengths on the commutative side and their Seiberg-Witten transforms on the noncommutative side to the first… (More)

We examine noncommutative linear sigma models with U (N) global symmetry groups at the one-loop quantum level, and contrast the results with our previous study of the noncommutative O(N) linear sigma models where we have shown that Nambu-Goldstone symmetry realization is inconsistent with continuum renormaliza-tion. Specifically we find no violation of… (More)

- Kirk Kaminsky
- 2003

We continue our investigation of the quantum equivalence between commutative and non-commutative Chern-Simons theories by computing the complete set of two-loop quantum corrections to the correlation function of a pure open Wilson line and an open Wilson line with a field strength insertion, on the noncommutative side in a covariant gauge. The conjectured… (More)

We examine the spontaneous symmetry breaking of gauge theories in the framework of noncommutative field theory. We consider a noncommutative U(2) Higgs model with matter in the adjoint representation, that is the simplest example of a noncom-mutative gauge theory that is both classically well-defined in R ξ gauges and has an interacting commutative limit.… (More)

The role of the (dynamical) dilaton in the vortices associated with the spontaneous breaking of an anomalous U(1) from heterotic string theory is examined. We demonstrate how the anomaly (and the coupling to the dilaton/axion) can appear in the Lagrangian and associated field equations as a controlled perturbation about the standard Nielsen-Olesen… (More)

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