TY - JOUR

T1 - Quantum dynamics of low-energy theory on semilocal non-Abelian strings

AU - Koroteev, P.

AU - Shifman, M.

AU - Vinci, W.

AU - Yung, A.

PY - 2011/9/15

Y1 - 2011/9/15

N2 - Recently, a low-energy effective theory on non-Abelian semilocal vortices in N=2 supersymmetric quantum chromodynamics with the U(N) gauge group and N+N′ quark flavors was obtained in field theory. The result is exact in a certain limit of large infrared cutoff. The resulting model was called the zn model. We study quantum dynamics of the zn model in some detail. First, we solve it at large N in the leading order. Then we compare our results with those of Hanany and Tong (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 N, both models' predictions are identical. At finite N, 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 zn and Hanany-Tong models. Finally, we study perturbation theory of the zn model from various standpoints.

AB - Recently, a low-energy effective theory on non-Abelian semilocal vortices in N=2 supersymmetric quantum chromodynamics with the U(N) gauge group and N+N′ quark flavors was obtained in field theory. The result is exact in a certain limit of large infrared cutoff. The resulting model was called the zn model. We study quantum dynamics of the zn model in some detail. First, we solve it at large N in the leading order. Then we compare our results with those of Hanany and Tong (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 N, both models' predictions are identical. At finite N, 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 zn and Hanany-Tong models. Finally, we study perturbation theory of the zn model from various standpoints.

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U2 - 10.1103/PhysRevD.84.065018

DO - 10.1103/PhysRevD.84.065018

M3 - Article

AN - SCOPUS:80053928131

SN - 1550-7998

VL - 84

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

M1 - 065018

ER -