N = 1 supersymmetric quantum chromodynamics: How confined non-Abelian monopoles emerge from quark condensation
Jan, 2007
35 pages
Published in:
- Phys.Rev.D 75 (2007) 065032
e-Print:
- hep-th/0701040 [hep-th]
Report number:
- FTPI-MINN-06-39,
- UMN-TH-2530-06,
- ITEP-TH-72-06
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Abstract:
We consider N =1 supersymmetric QCD with the gauge group U(N) and N_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 BPS non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by 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_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.- 12.38.Aw
- 11.30.Pb
- gauge field theory: SU(N) x U(1)
- quantum chromodynamics: supersymmetry
- fermion: flavor
- fermion: condensation
- index theorem
- membrane model
- magnetic monopole
- confinement
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