TY - JOUR

T1 - N=1 supersymmetric quantum chromodynamics

T2 - How confined non-Abelian monopoles emerge from quark condensation

AU - Gorsky, A.

AU - Shifman, M.

AU - Yung, A.

N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.

PY - 2007/3/30

Y1 - 2007/3/30

N2 - We consider N=1 supersymmetric QCD with the gauge group U(N) and Nf=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N=1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N=1 theory under consideration can be obtained starting from N=2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by a supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N=1 SQCD with the gauge group U(N) and Nf=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect.

AB - We consider N=1 supersymmetric QCD with the gauge group U(N) and Nf=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N=1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N=1 theory under consideration can be obtained starting from N=2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by a supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N=1 SQCD with the gauge group U(N) and Nf=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect.

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U2 - 10.1103/PhysRevD.75.065032

DO - 10.1103/PhysRevD.75.065032

M3 - Article

AN - SCOPUS:34047178953

VL - 75

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

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

SN - 1550-7998

IS - 6

M1 - 065032

ER -