N=1 supersymmetric quantum chromodynamics: How confined non-Abelian monopoles emerge from quark condensation
- Institute of Theoretical and Experimental Physics, Moscow 117259, (Russian Federation)
- William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
- Institute of Theoretical and Experimental Physics, Moscow 117259 (Russian Federation)
We consider N=1 supersymmetric QCD with the gauge group U(N) and N{sub f}=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 N{sub f}=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.
- OSTI ID:
- 21020211
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevD.75.065032; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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