606 research outputs found
Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory
In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded
extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge
symmetry. It is a global symmetry on sites in a fixed point with respect to
Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the
vacuum expectation value of a Z_2-projected Polyakov loop is a good order
parameter of the new symmetry. The effective theory on lattice is also
discussed.Comment: 13 pages, 3 figures; refined the explanation
Multi-phases in gauge theories on non-simply connected spaces
It is pointed out that phase structures of gauge theories compactified on
non-simply connected spaces are not trivial. As a demonstration, an SU(2) gauge
model on is studied and is shown to possess three phases:
Hosotani, Higgs and coexisting phases. The critical radius and the order of the
phase transitions are explicitly determined. A general discussion about phase
structures for small and large scales of compactified spaces is given. The
appearance of phase transitions suggests a GUT scenario in which the gauge
hierarchy problem is replaced by a dynamical problem of how to stabilize a
radius of a compactified space in close vicinity to a critical radius.Comment: 12 pages, 1 figur
Gauge Symmetry Breaking through the Hosotani Mechanism in Softly Broken Supersymmetric QCD
Gauge symmetry breaking through the Hosotani mechanism (the dynamics of
nonintegrable phases) in softly broken supersymmetric QCD with
flavors is studied. For even, there is a single SU(N) symmetric vacuum
state, while for odd, there is a doubly degenerate SU(N) symmetric vacuum
state in the model. We also study generalized supersymmetric QCD by adding
numbers of massless adjoint matter. The gauge symmetry breaking
pattern such as is possible for appropriate choices
of the matter content and values of the supersymmetry breaking parameter. The
massless state of the adjoint Higgs scalar is also discussed in the models.Comment: 19 pages, no figure, final version to appear in Phys. Rev.
Dynamics of Nonintegrable Phases in Softly Broken Supersymmetric Gauge Theory with Massless Adjoint Matter
We study SU(N) supersymmetric Yang-Mills theory with massless adjoint matter
defined on . The SU(N) gauge symmetry is broken maximally to
, independent of the number of flavor and the boundary conditions
of the fields associated with the Scherk-Schwarz mechanism of supersymmetry
breaking. The mass of the Higgs scalar is generated through quantum corrections
in the extra dimensions. The quantum correction can become manifest by a finite
Higgs boson mass at low energies even in the limit of small extra dimensions
thanks to the supersymmetry breaking parameter of the Scherk-Schwarz mechanism.Comment: 19 pages, 2 figures, corrected some typo
Adaptive route selection for dynamic route guidance system based on fuzzy-neural approaches
The objective of this work is to model the driver behaviour in the area of route selection. The research focus on an optimum route search function in a typical in-car navigation system or dynamic route guidance (DRG) system. In this work, we want to emphasize the need to orientate the route selection method on the driver's preference. Each route candidate has a set of attributes. A fuzzy-neural approach is used to represent the correlation of the attributes with the driver's route selection. A recommendation or route ranking can be provided to the driver. Based on a training of the fuzzy-neural net on the driver's choice, the route selection function can be made adaptive to the decision-making of the driver.published_or_final_versio
Multi-phases in gauge theories of non-simply connected spaces
It is pointed out that phase structures of gauge theories compactified on non-simply connected spaces are not trivial. As a demonstration, an SU(2) gauge model on M^3 â S^1 is studied, and it is shown to possess three phases: Hosotani, Higgs and coexisting phases. The critical radius and the order of the phase transitions are determined explicitly. A general discussion about phase structures for small and large scales of compactified spaces is given. The appearance of phase transitions suggests a GUT scenario in which the gauge hierarchy problem is replaced by the dynamical problem of the stabilization of the radius of a compactified space in the vicinity of a critical radius
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