Stochastic quantization of Yang-Mills field theory: Gauge-fixing parameter dependence and equilibrium limit

1987 ◽  
Vol 36 (2) ◽  
pp. 510-514 ◽  
Author(s):  
A. Muoz Sudupe ◽  
L. A. Fernández
Keyword(s):  
Field Theory ◽  
Parameter Dependence ◽  
Stochastic Quantization ◽  
Equilibrium Limit ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Mills Field

ß-function for Yang-Mills field theory in stochastic quantization

1986 ◽  
Vol 166 (2) ◽  
pp. 186-190 ◽  
Author(s):  
A.Muñoz Sudupe ◽  
R.F. Alvarez-Estrada
Keyword(s):  
Field Theory ◽  
Stochastic Quantization ◽  
Yang Mills ◽  
Mills Field

scholarly journals NONLINEAR PHENOMENA IN CANONICAL STOCHASTIC QUANTIZATION

2008 ◽  
Vol 18 (09) ◽  
pp. 2787-2791
Author(s):  
HELMUTH HÜFFEL
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Field Theories ◽  
Higgs Mechanism ◽  
Nonlinear Phenomena ◽  
Quantum Field ◽  
Stochastic Quantization ◽  
Statistical System ◽  
Equilibrium Limit ◽  
Euclidean Quantum Field Theory

Stochastic quantization provides a connection between quantum field theory and statistical mechanics, with applications especially in gauge field theories. Euclidean quantum field theory is viewed as the equilibrium limit of a statistical system coupled to a thermal reservoir. Nonlinear phenomena in stochastic quantization arise when employing nonlinear Brownian motion as an underlying stochastic process. We discuss a novel formulation of the Higgs mechanism in QED.

scholarly journals Black Holes in 4D N=4 Super-Yang-Mills Field Theory

2020 ◽  
Vol 10 (2) ◽  
Author(s):  
Francesco Benini ◽  
Paolo Milan
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Yang Mills ◽  
Mills Field

THE SUPERSYMMETRIC GAUGE FIELD COPIES

1987 ◽  
Vol 02 (11) ◽  
pp. 861-868
Author(s):  
ZIEMOWIT POPOWICZ
Keyword(s):  
Field Theory ◽  
Field Strength ◽  
Gauge Field ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
Mills Field

The examples of Wu-Yang ambiguity in the supersymmetric Yang-Mills theory are given. We describe two different manners of copying the superconnection for the N = 1, N = 3 supersymmetric SU(2) Yang-Mills field theory, providing the same field strength superfield tensor.

scholarly journals On the renormalization of topological Yang-Mills field theory in N = 1 superspace

1996 ◽  
Vol 477 (3) ◽  
pp. 925-937 ◽  
Author(s):  
M.W. de Oliveira ◽  
A.B. Penna Firme
Keyword(s):  
Field Theory ◽  
Yang Mills ◽  
Mills Field

ON THE EQUILIBRIUM DISTRIBUTION OF THE STOCHASTICALLY QUANTIZED YANG-MILLS THEORY

1994 ◽  
Vol 09 (13) ◽  
pp. 1213-1219 ◽  
Author(s):  
S. MUSAYEV
Keyword(s):  
Infinite Number ◽  
Equilibrium Distribution ◽  
Equilibrium Limit ◽  
Yang Mills ◽  
Gauge Fixing

The structure of the stochastically quantized Yang-Mills theory with the Zwanziger gauge fixing term in the equilibrium limit is explored. The theory turns out to be extremely sophisticated and includes an infinite number of nonlocal vertices. It is the quantum Yang-Mills theory in the gauge different from the ones familiar to us.

Classical Yang-Mills field theory with nonstandard Lagrangians

1984 ◽  
Vol 59 (1) ◽  
pp. 372-378 ◽  
Author(s):  
A. I. Alekseev ◽  
B. A. Arbuzov
Keyword(s):  
Field Theory ◽  
Yang Mills ◽  
Mills Field
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