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 $M^3\otimes S^1$ 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 $N_F^{fd}$ flavors is studied. For $N=$ even, there is a single SU(N) symmetric vacuum state, while for $N=$ odd, there is a doubly degenerate SU(N) symmetric vacuum state in the model. We also study generalized supersymmetric QCD by adding $N_F^{adj}$ numbers of massless adjoint matter. The gauge symmetry breaking pattern such as $SU(3)\to SU(2)\times U(1)$ 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 $M^3\otimes S^1$. The SU(N) gauge symmetry is broken maximally to $U(1)^{N-1}$, 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 ⊗ 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

Salt Tolerance in Herbage and its Application to Greening the Desert

Canadian peat moss was used as water holding material and the efficacy of mixing the peat with the sand on water holding capacity of the sand, and the adaptability of alfalfa (AL), burmudagrass (BG), bahiagrass(BH), weeping lovegrass (WL) and Japanese lawngrass(JL) to dry and saline conditions were investigated. Without mixing peat, pF value of the sand did not change for 6 days after watering, but rose markedly up to 2.9 after 18 days. With mixing peat at the rate of 2% by the sand weight, the value did not change for 20 days, and rose gradually up to 2.5 on 30th. The yield of the herbages was the highest in the sand with peat at 2%, and WL showed the highest value followed by BG. Salt tolerance at germination and seedling tests was the strongest in BG and WL. Under the 100mM NaCl condition, the pattern of cation uptake in BG and WL showed lower Na uptake and K decline than in AL, BH and JL. Oxygen production in thylakoid membrane was the highest in BG and WL