Renormalization of Kernels in Stochastically Quantized Gauge-Invariant Fermionic Theories

1997 ◽  
Vol 12 (31) ◽  
pp. 5555-5571
Author(s):  
S. Musayev
Keyword(s):  
Gauge Field ◽  
Renormalization Constant ◽  
Langevin Equations ◽  
Mass Renormalization ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Equilibrium Limit ◽  
Nonequilibrium Theory ◽  
Β Function ◽  
Brst Invariance

Fermionic theory coupled to the non-Abelian gauge field is stochastically quantized by means of choosing certain quasilocal gauge-covariant kernel. One-loop renormalization is carried out for the whole system of the Langevin equations which are shown to be multiplicative renormalizable. Renormalization of noise correlators agrees with that of the kernel in the Langevin equations. In the equilibrium limit β-function and mass renormalization constant reproduce standard results. It is demonstrated that the nonequilibrium theory possesses BRST invariance.

scholarly journals PROBING THE FROISSART BOUND FOR MODELS WITH CHARGED VECTOR FIELDS IN D=3

1994 ◽  
Vol 09 (18) ◽  
pp. 1695-1700 ◽  
Author(s):  
O.M. DEL CIMA
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Gauge Field ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tree Level ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Maxwell Fields ◽  
Chern Simons

One discusses the tree-level unitarity and presents asymptotic behavior of scattering amplitudes for three-dimensional gauge-invariant models where complex Chern- Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gauge field.

scholarly journals FIELD STRENGTH FORMULATION OF SU(2) YANG–MILLS THEORY IN THE MAXIMAL ABELIAN GAUGE: PERTURBATION THEORY

1998 ◽  
Vol 13 (23) ◽  
pp. 4049-4076 ◽  
Author(s):  
M. QUANDT ◽  
H. REINHARDT
Keyword(s):  
Perturbation Theory ◽  
Gauge Field ◽  
Trivial Solution ◽  
Semiclassical Approximation ◽  
Tensor Fields ◽  
Abelian Gauge ◽  
Standard Result ◽  
Yang Mills ◽  
Β Function ◽  
The One

We present a reformulation of SU(2) Yang–Mills theory in the maximal Abelian gauge, where the non-Abelian gauge field components are exactly integrated out at the expense of a new Abelian tensor field. The latter can be treated in a semiclassical approximation and the corresponding saddle point equation is derived. Besides the nontrivial solutions, which are presumably related to nonperturbative interactions for the Abelian gauge field, the equation of motion for the tensor fields allows for a trivial solution as well. We show that the semiclassical expansion around this trivial solution is equivalent to the standard perturbation theory. In particular, we calculate the one-loop β-function for the running coupling constant in this approach and reproduce the standard result.

WEYL NON-ABELIAN GAUGE FIELD

1995 ◽  
Vol 10 (03) ◽  
pp. 193-197 ◽  
Author(s):  
B. M. BARBASHOV ◽  
A. B. PESTOV
Keyword(s):  
Gauge Field ◽  
Abelian Gauge ◽  
Cartan Geometry ◽  
Gauge Invariant

It is shown that the congruent transference introduced by Weyl in 1921 defines a non-Abelian gauge field. The simplest gauge-invariant equations are proposed for this field. Its relation with the Riemann–Cartan geometry is also discussed.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals CONSTRAINED DYNAMICS OF THE COUPLED ABELIAN TWO-FORM

1993 ◽  
Vol 08 (25) ◽  
pp. 2403-2412 ◽  
Author(s):  
AMITABHA LAHIRI
Keyword(s):  
Phase Space ◽  
Gauge Field ◽  
Antisymmetric Tensor ◽  
Abelian Gauge ◽  
Constrained Dynamics ◽  
Duality Transformations ◽  
Tensor Potential

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an Abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.

scholarly journals Gauge inflation by kinetic coupled gravity

2014 ◽  
Vol 29 (30) ◽  
pp. 1450161 ◽  
Author(s):  
F. Darabi ◽  
A. Parsiya
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Einstein Tensor ◽  
Abelian Gauge ◽  
Metric Tensor ◽  
New Class ◽  
Slow Roll ◽  
Set Up ◽  
Inflationary Models

Recently, a new class of inflationary models, so-called gauge-flation or non-Abelian gauge field inflation has been introduced where the slow-roll inflation is driven by a non-Abelian gauge field A with the field strength F. This class of models are based on a gauge field theory having F2 and F4 terms with a non-Abelian gauge group minimally coupled to gravity. Here, we present a new class of such inflationary models based on a gauge field theory having only F2 term with non-Abelian gauge fields non-minimally coupled to gravity. The non-minimal coupling is set up by introducing the Einstein tensor besides the metric tensor within the F2 term, which is called kinetic coupled gravity. A perturbation analysis is performed to confront the inflation under consideration with Planck and BICEP2 results

scholarly journals Inflationary dynamics with a non-Abelian gauge field

2013 ◽  
Vol 87 (2) ◽  
Author(s):  
Kei-ichi Maeda ◽  
Kei Yamamoto
Keyword(s):  
Gauge Field ◽  
Abelian Gauge
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