SUSY breaking scales in the gauge-Higgs unification

Hatanaka, Hisaki; Hosotani, Yutaka

doi:10.1016/j.physletb.2012.06.039

Cited by 13 publications

(5 citation statements)

References 48 publications

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“…It means we cannot break the gauge symmetry only with SYM. This interpretation does not conflict with the known results based on the perturbative calculation [35].…”

Section: An Exact Result Large R-charge Limit and The Symmetry Breakingsupporting

confidence: 83%

Symmetry breaking caused by large ℛ-charge

Tanaka

Tomiya

Shimotani

2014

J. High Energ. Phys.

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We discuss the gauge symmetry breaking via the Hosotani mechanism by using exact results on supersymmetric gauge theories based on the localization method. We use the theories on S 2 × S 1 Euclidean space, and study how the effective potential for the Wilson line phase varies by running an imaginary chemical potential. In order to break the symmetry, we find that large R-charge is necessary. With such large R-charge, we study the phase structure of the theory. In addition, we observed that a finite size effect on our curved space when we take R-charge is not so large.

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“…It means we cannot break the gauge symmetry only with SYM. This interpretation does not conflict with the known results based on the perturbative calculation [35].…”

Section: An Exact Result Large R-charge Limit and The Symmetry Breakingsupporting

confidence: 83%

Symmetry breaking caused by large ℛ-charge

Tanaka

Tomiya

Shimotani

2014

J. High Energ. Phys.

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“…It would be useful to give another expression of V (θ, m), which has been obtained in Refs. [53,54];…”

Section: Discussionmentioning

confidence: 99%

Polyakov loops and the Hosotani mechanism on the lattice

et al. 2014

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We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice ($16^3 \times 4$ lattice) in the presence of fermions in the adjoint representation with periodic boundary conditions. We estimate numerically the density plots of the Polyakov loop eigenvalues phases, which reflect the location of minima of the effective potential in the Hosotani mechanism. We find strong indication that the four phases found on the lattice correspond to SU(3)-confined, SU(3)-deconfined, SU(2) x U(1), and U(1) x U(1) phases predicted by the one-loop perturbative calculation. The case with fermions in the fundamental representation with general boundary conditions, equivalent to the case of imaginary chemical potentials, is also found to support the $Z_3$ symmetry breaking in the effective potential analysis.Comment: 43 pages, 19 figures, 3 tables. Updated version matches the journal conten

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“…This phenomenon originates in the non-abelian Aharonov-Bohm effect. There have been proposed a number of BSM models directly and indirectly based on this mechanism [11][12][13][14][15][16][17][18][19][20][21][22][23] Recently, the same phenomenon has been observed in a different context. As well-known, the imaginary time dimension is compacted in the finite-temperature (Quantum Chromodynamics) QCD.…”

Section: Introductionmentioning

confidence: 99%

Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited

Kashiwa

Misumi

2013

J. High Energ. Phys.

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We investigate the phase structure of SU (3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-modelbased effective potentials, with emphasis on spontaneous gauge symmetry breaking.When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetrybroken phases, called the SU (2) × U (1) split and the U (1) × U (1) re-confined phases.Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking.We also show that another U (1) × U (1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased. * Electronic address: kashiwa@ribf.riken.jp † Electronic address: tmisumi@bnl.gov

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SUSY breaking scales in the gauge-Higgs unification

Cited by 13 publications

References 48 publications

Symmetry breaking caused by large ℛ-charge

Symmetry breaking caused by large ℛ-charge

Polyakov loops and the Hosotani mechanism on the lattice

Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited

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