Matter Representations and Gauge Symmetry Breaking via Compactified Space

Abstract

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge theories when the models contain both fundamental and adjoint matter. As a result, we find that any pattern of gauge symmetry breaking can be realized by selecting an appropriate set of numbers (Nf,Nad) in these cases. This is achieved without tuning boundary conditions of the matter fields. As a by-product, in some cases we obtain an effective potential which has no curvature at the minimum, thus leading to massless Higgs scalars, irrespective of the size of the compactified space.

PTPTeX, 15 pages, 8 Postscript figures;typos corrected, references added

Cited by in corpus (42)

• Big Corrections from a Little Higgs
• Finite Higgs mass without Supersymmetry
• Standard Model Higgs from Higher Dimensional Gauge Fields
• The Hosotani Mechanism in Bulk Gauge Theories with an Orbifold Extra Space S^1/Z_2
• The Origin of Spontaneous Symmetry Breaking in Theories with Large Extra Dimensions
• Bulk and brane radiative effects in gauge theories on orbifolds
• Grand Gauge-Higgs Unification
• Supersymmetry breaking on orbifolds from Wilson lines
• Polyakov loops and the Hosotani mechanism on the lattice
• Radiative brane-mass terms in D>5 orbifold gauge theories
• Higgs-gauge unification without tadpoles
• Kaluza-Klein Thresholds and Regularization (In)dependence
• Distinct signals of the gauge-Higgs unification in $e^{+}{e}^{-}$ collider experiments
• CKM matrix and FCNC suppression in $SO(5)\times U(1)\times SU(3)$ gauge-Higgs unification
• GUT inspired $SO(5)\times U(1)\times SU(3)$ gauge-Higgs unification
• The effective potential and universality in GUT inspired gauge-Higgs unification
• Fermion pair production at $e^{-}{e}^{+}$ linear collider experiments in GUT inspired gauge-Higgs unification
• High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Finite mass corrections in orbifold gauge theories
• Gauge Symmetry Breaking through the Hosotani Mechanism in Softly Broken Supersymmetric QCD
• Soft electroweak breaking from hard supersymmetry breaking
• Collider signals of $W^{\prime }$ and $Z^{\prime }$ bosons in the gauge-Higgs unification
• Partial Gauge Symmetry Breaking via Bare Mass
• Dynamics of Nonintegrable Phases in Softly Broken Supersymmetric Gauge Theory with Massless Adjoint Matter
• Electroweak and Left-Right Phase Transitions in $SO(5)\times U(1)\times SU(3)$ Gauge-Higgs Unification
• Forward-backward asymmetry in the gauge-Higgs unification at the International Linear Collider
• On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Gauge Theories on an Interval: Unitarity without a Higgs
• Single Higgs Boson Production at Electron-Positron Colliders in Gauge-Higgs Unification
• Anomaly flow by an Aharonov-Bohm phase
• Signals of $W^{\prime }$ and $Z^{\prime }$ bosons at the LHC in the $SU(3)\times SO(5)\times U(1)$ gauge-Higgs unification
• Bhabha scattering in the gauge-Higgs unification
• Universality in Anomaly Flow
• Coupling Sum Rules and Oblique Corrections in Gauge-Higgs Unification
• Majorana Fermions and CP Violation from 5-dimensional Theories; a Systematic Approach
• Single Z' production at CLIC based on e^- gamma collisions
• $USp(32)$ Special Grand Unification
• Neutrino oscillations and PMNS matrix in gauge-Higgs unification
• Linear Collider Signals of $Z^{\prime }$ Bosons in GUT Inspired Gauge-Higgs Unification
• Divergences and Symmetries in Higgs-Gauge Unification Theories