Stochastic quantization of field theory

1986 ◽  
Vol 29 (5) ◽  
pp. 389-411 ◽  
Author(s):  
A A Migdal
1989 ◽  
Vol 28 (7) ◽  
pp. 719-763 ◽  
Author(s):  
M. Dineykhan ◽  
Kh. Namsrai

2008 ◽  
Vol 18 (09) ◽  
pp. 2787-2791
Author(s):  
HELMUTH HÜFFEL

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.


1991 ◽  
Vol 06 (28) ◽  
pp. 4985-5015 ◽  
Author(s):  
HELMUTH HÜFFEL

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.


1996 ◽  
Vol 11 (24) ◽  
pp. 4401-4418 ◽  
Author(s):  
D.V. ANTONOV ◽  
YU. A. SIMONOV

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.


2021 ◽  
pp. 2150155
Author(s):  
A. K. Kapoor

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.


1987 ◽  
Vol 02 (10) ◽  
pp. 753-759 ◽  
Author(s):  
YUAN-BEN DAI ◽  
CHUAN-SHENG XIONG ◽  
WEI-DONG ZHAO

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


2010 ◽  
Vol 51 (10) ◽  
pp. 102304 ◽  
Author(s):  
T. C. de Aguiar ◽  
N. F. Svaiter ◽  
G. Menezes

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