Abstract
Recently, a low-energy effective theory on non-Abelian semilocal vortices in supersymmetric quantum chromodynamics with the gauge group and quark flavors was obtained in field theory [M. Shifman, W. Vinci, and A. Yung, Phys. Rev. D 83, 125017 (2011).]. The result is exact in a certain limit of large infrared cutoff. The resulting model was called the model. We study quantum dynamics of the model in some detail. First, we solve it at large in the leading order. Then we compare our results with those of Hanany and Tong [A. Hanany and D. Tong, J. High Energy Phys. 04 (2004) 066.] (the Hanany-Tong model) who based their derivation on a certain type-IIA formalism, rather than on a field-theory construction. In the ’t Hooft limit of infinite , both models’ predictions are identical. At finite , our calculations agree with the Hanany-Tong results only in the Bogomol’nyi-Prasad-Sommerfeld monopoles sector. Beyond the Bogomol’nyi-Prasad-Sommerfeld monopoles sector, there is no agreement between the and Hanany-Tong models. Finally, we study perturbation theory of the model from various standpoints.
- Received 26 July 2011
DOI:https://doi.org/10.1103/PhysRevD.84.065018
© 2011 American Physical Society