127 research outputs found
BRST invariant Lagrangian of spontaneously broken gauge theories in noncommutative geometry
The quantization of spontaneously broken gauge theories in noncommutative
geometry(NCG) has been sought for some time, because quantization is crucial
for making the NCG approach a reliable and physically acceptable theory. Lee,
Hwang and Ne'eman recently succeeded in realizing the BRST quantization of
gauge theories in NCG in the matrix derivative approach proposed by Coquereaux
et al. The present author has proposed a characteristic formulation to
reconstruct a gauge theory in NCG on the discrete space .
Since this formulation is a generalization of the differential geometry on the
ordinary manifold to that on the discrete manifold, it is more familiar than
other approaches. In this paper, we show that within our formulation we can
obtain the BRST invariant Lagrangian in the same way as Lee, Hwang and Ne'eman
and apply it to the SU(2)U(1) gauge theory.Comment: RevTeX, page
BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry
Noncommutative geometry(NCG) on the discrete space successfully reproduces
the Higgs mechanism of the spontaneously broken gauge theory, in which the
Higgs boson field is regarded as a kind of gauge field on the discrete space.
We could construct the generalized differential geometry(GDG) on the discrete
space which is very close to NCG in case of .
GDG is a direct generalization of the differential geometry on the ordinary
manifold into the discrete one. In this paper, we attempt to construct the BRST
invariant formulation of spontaneously broken gauge theory based on GDG and
obtain the BRST invariant Lagrangian with the t'Hooft-Feynman gauge fixing
term.Comment: 15 page
Deformation of the ABJM Theory
In this paper we analyse the ABJM theory on deformed spacetime. We show that
this theory reduces to a deformed super-Yang-Mills theory when one of the
scalar superfields is given a non-vanishing vacuum expectation value. Our
analyse is done in N=1 superspace formulism.Comment: 10 pages, 0 figures, accepted for publication in EP
Parallel Transport in Gauge Theory on Geometry
We apply the gauge theory on geometry previously proposed by
Konisi and Saito to the Weinberg-Salam model for electroweak interactions,
especially in order to clarify the geometrical meaning of curvatures in this
geometry. Considering the Higgs field to be a gauge field along
direction, we also discuss the BRST invariant gauge fixing in this theory.Comment: 14 pages, LaTeX file. Change in title and minor changes in conten
A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory
A superconnection is a supermatrix whose even part contains the
gauge-potential one-forms of a local gauge group, while the odd parts contain
the (0-form) Higgs fields; the combined grading is thus odd everywhere. We
demonstrate that the simple supergroup (rank=3) in Kac'
classification (even subgroup ) prverline {SL}(4,R)\bar{SL}(4,R)\bar{SO}(1,3)$ unbroken. As a result, post-Riemannian SKY
gravity yields Einstein's theory as a low-energy (longer range) effective
theory. The theory is renormalizable and may be unitary.Comment: 11 pages, late
Gauge Theories on Deformed Spaces
The aim of this review is to present an overview over available models and
approaches to non-commutative gauge theory. Our main focus thereby is on gauge
models formulated on flat Groenewold-Moyal spaces and renormalizability, but we
will also review other deformations and try to point out common features. This
review will by no means be complete and cover all approaches, it rather
reflects a highly biased selection.Comment: v2 references added; v3 published versio
Nonlocal regularization of abelian models with spontaneous symmetry breaking
We demonstrate how nonlocal regularization is applied to gauge invariant
models with spontaneous symmetry breaking. Motivated by the ability to find a
nonlocal BRST invariance that leads to the decoupling of longitudinal gauge
bosons from physical amplitudes, we show that the original formulation of the
method leads to a nontrivial relationship between the nonlocal form factors
that can appear in the model.Comment: 11 pages, uses amsart. To appear in Mod. Phys. Lett
Spontaneous Lorentz Symmetry Breaking by Anti-Symmetric Tensor Field
We study the spontaneous Lorentz symmetry breaking in a field theoretical
model in (2+1)-dimension, inspired by string theory. This model is a gauge
theory of an anti-symmetric tensor field and a vector field (photon). The
Nambu-Goldstone (NG) boson for the spontaneous Lorentz symmetry breaking is
identified with the unphysical massless photon in the covariant quantization.
We also discuss an analogue of the equivalence theorem between the amplitudes
for emission or absorption of the physical massive anti-symmetric tensor field
and those of the unphysical massless photon. The low-energy effective action of
the NG-boson is also discussed.Comment: 18 pages, Latex file, no figur
Brans-Dicke Theory on Geometry
The gauge theory on geometry is applied to the
Brans-Dicke(BD) theory, where is the four dimensional space-time and
is a discrete space with two points. This approach had been previously
proposed by Konisi and Saito without recourse to noncommutative geometry(NCG).
Since our approach is geometrically simpler and clearer than NCG, one can see
more directly the effect of the space in obtaining the BD theory.Comment: 12 pages, LaTeX fil
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