Gauge symmetry breaking through the Hosotani mechanism in softly broken supersymmetric QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 8, 2002, Pages

  Takenaga, Kazunori ^a  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GAUGE SYMMETRY; HIGGS SCALAR MODEL; HOSOTANI MECHANISM; MASS; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; QUANTUM CHROMODYNAMICS; QUANTUM MECHANICS; QUANTUM THEORY; SUPERSYMMETRY; VACUUM;

EID: 3843076700     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.085009     Document Type: Article

References (32)

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12. This is not the case where the gauge charge such as the gauged (Formula presented) in supergravity models distinguishes bosons and fermions in a supermultiplet. In this case supersymmetry is broken spontaneously by the Hosotani mechanism 11.
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18. These boundary conditions are defined by the assignments of (Formula presented) charge on the fields based on the invariance of the action under the (Formula presented) transformation in the presence of the mass term (Formula presented) The discussion on the effective potential of the nonintegrable phases in this paper corresponds to the massless limit.
19. This point has been overlooked in the previous paper 8.
20. This is also clear from the fact that q and (Formula presented) forms a Dirac spinor satisfying the periodic boundary condition.
21. The gauge group (Formula presented) is an exceptional case as we will see in Sec. III.
22. Since the tree-level potential in the model is not the Higgs type potential, we do not expect the phase structures depending on the size of (Formula presented) such as the ones studied in Ref. 20.
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24. The potential is also invariant under (Formula presented) (Formula presented) This corresponds to (Formula presented)
25. Note that the physical region of (Formula presented) is (Formula presented)
26. We have ignored the terms coming from the trilinear coupling of the chiral superfields, (Formula presented) by assuming that the coupling is of order g, hence (Formula presented) in the potential.
27. We have confirmed that the configurations given by (Formula presented) do not alter our discussions.
28. The configuration for the region (Formula presented) is not given by (Formula presented) but is close to it and respects (Formula presented) symmetry.
29. The gauge symmetry breaking pattern becomes (Formula presented) for the configuration (Formula presented) if we consider the nonzero values of (Formula presented)
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31. This vanishing determinant is modified if we consider the nonzero values of the vacuum expectation values for the squark fields.
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