Nonlocality and stochastic quantization of field theory

1989 ◽  
Vol 28 (7) ◽  
pp. 719-763 ◽  
Author(s):  
M. Dineykhan ◽  
Kh. Namsrai
Keyword(s):  
Field Theory ◽  
Stochastic Quantization

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.

BRST STOCHASTIC QUANTIZATION

1991 ◽  
Vol 06 (28) ◽  
pp. 4985-5015 ◽  
Author(s):  
HELMUTH HÜFFEL
Keyword(s):  
Field Theory ◽  
Particle System ◽  
Relativistic Particle ◽  
Point Particle ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Second Quantization ◽  
Spinning Particle ◽  
Constrained Hamiltonian Systems

After a brief review of the BRST formalism and of the Parisi-Wu stochastic-quantization method, the BRST-stochastic-quantization scheme is introduced. This scheme allows the second quantization of constrained Hamiltonian systems in a manifestly gauge-symmetry-preserving way. The examples of the relativistic particle, the spinning particle and the bosonic string are worked out in detail. The paper is closed with a discussion on the interacting field theory associated with the relativistic-point-particle system.

scholarly journals NEW EQUATIONS FOR VACUUM CORRELATORS IN FIELD THEORY

1996 ◽  
Vol 11 (24) ◽  
pp. 4401-4418 ◽  
Author(s):  
D.V. ANTONOV ◽  
YU. A. SIMONOV
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Finite System ◽  
System Of Equations ◽  
Stochastic Quantization ◽  
Gauge Invariant ◽  
Diagrammatic Technique ◽  
Infinite Set

Stochastic quantization is used to derive exact equations connecting an infinite set of multilocal field correlators in the φ3 theory and gluodynamics. In the latter case the obtained equations are explicitly gauge-invariant. In the bilocal approximation, corresponding to the Gaussian stochastic ensemble, a minimal finite system of equations is obtained and investigated in the lowest orders of perturbation theory. A gauge-invariant diagrammatic technique in gluodynamics is developed.

scholarly journals A new approach to anomalous axial vector field theory – II

2021 ◽  
pp. 2150155
Author(s):  
A. K. Kapoor
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Vector Field ◽  
Axial Vector ◽  
Quantum Field ◽  
Stochastic Quantization ◽  
New Approach ◽  
Four Dimensions

This work is continuation of a stochastic quantization program reported earlier. In this paper, we propose a consistent scheme of doing computations directly in four dimensions using conventional quantum field theory methods.

ON STOCHASTIC QUANTIZATION OF WITTEN'S FIELD THEORY OF INTERACTING STRING

1987 ◽  
Vol 02 (10) ◽  
pp. 753-759 ◽  
Author(s):  
YUAN-BEN DAI ◽  
CHUAN-SHENG XIONG ◽  
WEI-DONG ZHAO
Keyword(s):  
Field Theory ◽  
Quantization Scheme ◽  
Stochastic Quantization ◽  
Feynman Rules

Simple Feynman rules are obtained for Witten's theory of interacting string using stochastic quantization scheme.

scholarly journals Stochastic quantization of real-time thermal field theory

2010 ◽  
Vol 51 (10) ◽  
pp. 102304 ◽  
Author(s):  
T. C. de Aguiar ◽  
N. F. Svaiter ◽  
G. Menezes
Keyword(s):  
Field Theory ◽  
Real Time ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Stochastic Quantization
Sign in / Sign up

Export Citation Format

Share Document