scholarly journals Fiber Bundle Structure of Gauge Field and Reduction by the Higgs Mechanism

1980 ◽  
Vol 63 (4) ◽  
pp. 1429-1441 ◽  
Author(s):  
M. Honda
Keyword(s):  
Gauge Field ◽  
Fiber Bundle ◽  
Higgs Mechanism ◽  
Bundle Structure

Higgs mechanism for Kalb-Ramond gauge field

1989 ◽  
Vol 40 (10) ◽  
pp. 3396-3401 ◽  
Author(s):  
Soo-Jong Rey
Keyword(s):  
Gauge Field ◽  
Higgs Mechanism

scholarly journals Renormalizing gravity: A new insight into an old problem

2018 ◽  
Vol 27 (14) ◽  
pp. 1847002 ◽  
Author(s):  
Saurya Das ◽  
Mir Faizal ◽  
Elias C. Vagenas
Keyword(s):  
Quantum Gravity ◽  
Gauge Field ◽  
Particle Physics ◽  
Higgs Mechanism ◽  
Spin Connection ◽  
Effective Reduction ◽  
Renormalizable Theory ◽  
Perturbative Quantum ◽  
Insight Into

It is well known that perturbative quantum gravity is nonrenormalizable. The metric or vierbein has generally been used as the variable to quantize in perturbative quantum gravity. In this paper, we show that one can use the spin connection instead, in which case it is possible to obtain a ghost-free renormalizable theory of quantum gravity. Furthermore in this approach, gravitational analogs of particle physics phenomena can be studied. In particular, we study the gravitational Higgs mechanism using spin connection as a gauge field, and show that this provides a mechanism for the effective reduction in the dimensionality of spacetime.

scholarly journals Hamiltonian formalism of topologically massive electrodynamics

2019 ◽  
Vol 34 (10) ◽  
pp. 1950067 ◽  
Author(s):  
Taegyu Kim ◽  
Seyen Kouwn ◽  
Phillial Oh
Keyword(s):  
Gauge Field ◽  
Tensor Field ◽  
Hamiltonian Formalism ◽  
Higgs Mechanism ◽  
Canonical Analysis ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field ◽  
Topological Interaction

We consider the four-dimensional topologically massive electrodynamics in which a gauge field interacts with rank two antisymmetric tensor field through a topological interaction. The photon becomes massive by eating the rank two tensor field, which is dual to the Higgs mechanism. We explicitly demonstrate the nature of the mechanism by performing a canonical analysis of the theory and discuss various aspects of it.

ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM

1989 ◽  
Vol 04 (05) ◽  
pp. 1055-1064 ◽  
Author(s):  
N. NAKANISHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Three Dimensional ◽  
Asymptotic Completeness ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Gauge ◽  
Asymptotic Fields

The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

scholarly journals HOPF MAP AND QUANTIZATION ON SPHERE

1999 ◽  
Vol 14 (38) ◽  
pp. 2649-2655 ◽  
Author(s):  
HITOSHI IKEMORI ◽  
SHINSAKU KITAKADO ◽  
HIDEHARU OTSU ◽  
TOSHIRO SATO
Keyword(s):  
Fiber Bundle ◽  
Square Root ◽  
Hopf Map ◽  
Bundle Structure

Quantization of a system constrained to move on a sphere is considered by taking a square root of the "on sphere condition". We arrive at the fiber bundle structure of the Hopf map in S2 and S4. This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.

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