Higher loops computation of critical exponents by stochastic quantization

doi:10.1016/0550-3213(88)90588-3

Nuclear Physics B

Volume 300, 1988, Pages 109-127

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Abstract

By using the stochastic regularization, it is possible to devise a method for computing critical exponents, providing a new computational tool with respect to the ε-expansion. We extend, here, a previous lowest order computation to higher order, and we find results in agreement with the experimental values.

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Cited by (2)

Stochastic quantization, non-markovian regularization and renormalization
1988, Nuclear Physics, Section B
We consider the stochastic quantization of field theories, generalized to suitable non-markovian processes which can be used as an analytic ultraviolet regularization, and also to provide a new approximation scheme for computing critical exponents. We discuss the renormalization procedure for the general case, making use also of the recently introduced methods based on BRS transformations, and we present a general formulation of a background field method for the Langevin equation.
Renormalization group equations in the stochastic quantization scheme
1988, Nuclear Physics, Section B
We show that there exists a remarkable link between the stochastic quantization and the theory of critical phenomena and dynamical statistical systems. In the stochastic quantization of a field theory, the stochastic Green functions converge to the quantum ones when the fictitious time goes to infinity. We therefore use the typical techniques of the Renormalization Group equations, developed in the framework of critical phenomena, to discuss some features of the convergence of the stochastic theory. We are also able, in this way, to compute some dynamical critical exponents and give new numerical valuations for them.

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Higher loops computation of critical exponents by stochastic quantization

Abstract

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Rev.

Nucl. Phys.

ICTP Preprint IC./84/92

Phys. Rev. Lett.

Sci. Sin.

Phys. Lett.