TY - JOUR

T1 - Non-Abelian string junctions as confined monopoles

AU - Shifman, M.

AU - Yung, A.

PY - 2004/8

Y1 - 2004/8

N2 - Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)×U(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large and (nearly) degenerate mass terms of the matter hypermultiplets. We present a complete quasiclassical treatment of the BPS sector of this model, including the full set of the first-order equations, derivations of all relevant zero modes, and derivation of an effective low-energy theory for the corresponding collective coordinates. The macroscopic description is provided by a CP1 model with or without twisted mass. The confined monopoles - string junctions of the microscopic theory - are mapped onto BPS kinks of the CP1 model. The string junction is 1/4 BPS. Masses and other characteristics of the confined monopoles are matched with those of the CP1-model kinks. The matching demonstrates the occurrence of an anomaly in the monopole central charge in 4D Yang-Mills theory. We study what becomes of the confined monopole in the bona fide non-Abelian limit of degenerate mass terms where a global SU(2) symmetry is restored. The solution of the macroscopic model is known, e.g., from the mirror description of the CP1 model. The monopoles, aka CP1-model kinks, are stabilized by nonperturbative dynamics of the CP1 model. We explain an earlier rather puzzling observation of a correspondence between the BPS kink spectrum in the CP1 model and the Seiberg-Witten solution.

AB - Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)×U(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large and (nearly) degenerate mass terms of the matter hypermultiplets. We present a complete quasiclassical treatment of the BPS sector of this model, including the full set of the first-order equations, derivations of all relevant zero modes, and derivation of an effective low-energy theory for the corresponding collective coordinates. The macroscopic description is provided by a CP1 model with or without twisted mass. The confined monopoles - string junctions of the microscopic theory - are mapped onto BPS kinks of the CP1 model. The string junction is 1/4 BPS. Masses and other characteristics of the confined monopoles are matched with those of the CP1-model kinks. The matching demonstrates the occurrence of an anomaly in the monopole central charge in 4D Yang-Mills theory. We study what becomes of the confined monopole in the bona fide non-Abelian limit of degenerate mass terms where a global SU(2) symmetry is restored. The solution of the macroscopic model is known, e.g., from the mirror description of the CP1 model. The monopoles, aka CP1-model kinks, are stabilized by nonperturbative dynamics of the CP1 model. We explain an earlier rather puzzling observation of a correspondence between the BPS kink spectrum in the CP1 model and the Seiberg-Witten solution.

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U2 - 10.1103/PhysRevD.70.045004

DO - 10.1103/PhysRevD.70.045004

M3 - Article

AN - SCOPUS:37649033054

SN - 0556-2821

VL - 70

JO - Physical Review D

JF - Physical Review D

IS - 4 B

M1 - 045004

ER -