26 research outputs found
The self-dual gauge fields and the domain wall fermion zero modes
A new type of gauge fixing of the Coulomb gauge domain wall fermion system
that reduces the fluctuation of the effective running coupling and the
effective mass of arbitrary momentum direction including the region outside the
cylinder cut region is proposed and tested in the
gauge configurations of RBC/UKQCD collaboration.
The running coupling at the lowest momentum point does not show infrared
suppression and compatible with the experimental data extracted from the JLab
collaboration. The source of the fluctuation of the effective mass near
momentum 0.6GeV region is expected to be due to the domain wall fermion
zero modes.Comment: 12 pages 2 figures, extended arguments and references adde
Non-vacuum Solutions of Bianchi Type VI_0 Universe in f(R) Gravity
In this paper, we solve the field equations in metric f(R) gravity for
Bianchi type VI_0 spacetime and discuss evolution of the expanding universe. We
find two types of non-vacuum solutions by taking isotropic and anisotropic
fluids as the source of matter and dark energy. The physical behavior of these
solutions is analyzed and compared in the future evolution with the help of
some physical and geometrical parameters. It is concluded that in the presence
of isotropic fluid, the model has singularity at and represents
continuously expanding shearing universe currently entering into phantom phase.
In anisotropic fluid, the model has no initial singularity and exhibits the
uniform accelerating expansion. However, the spacetime does not achieve
isotropy as in both of these solutions.Comment: 20 pages, 5 figures, accepted for publication in Astrophys. Space Sc
Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
We discuss how to construct anomaly-free chiral gauge theories on the lattice
with exact gauge invariance in the framework of domain wall fermion. Chiral
gauge coupling is realized by introducing a five-dimensional gauge field which
interpolates between two different four-dimensional gauge fields at boundaries.
The five-dimensional dependence is compensated by a local and gauge-invariant
counter term. The cohomology problem to obtain the counter term is formulated
in 5+1 dimensional space, using the Chern-Simons current induced from the
five-dimensional Wilson fermion. We clarify the connection to the invariant
construction based on the Ginsparg-Wilson relation using overlap Dirac
operator. Formula for the measure and the effective action of Weyl fermions are
obtained in terms of five-dimensional lattice quantities.Comment: 46 pages, LaTeX, references added and updated, minor text correction