Renormalization of stochastically quantized field theories

Journal Article · Fri Jan 01 04:00:00 EST 1988 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X88000047· OSTI ID:5352768

Chaturvedi, S ^[1]; Kapoor, A K; Srinivasan, V ^[2]

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1. Institute of Mathematical Sciences, Madras (India)
2. Hyderabad Univ. (India). School of Physics

The authors discuss the renormalizability of stochastically quantized phi/sup 4/ theory in four dimensions using the operator formalism of the Langevin equation developed by Namiki and Yamanaka. The operator formalism casts the Parisi Wu stochastic quantization scheme into five-dimensional field theory. The usefulness of this approach over the one based directly on the Langevin equation is brought out for discussion of renormalization. They propose a new regularization scheme for the stochastic diagrams and use it to compute the renormalization constants and counter terms for the phi/sup 4/ theory to second order in the coupling constant.

• OSTI ID: 5352768
• Journal Information: International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 3:1; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
LANGEVIN EQUATION
MECHANICS
QUANTIZATION
QUANTUM MECHANICS
RENORMALIZATION
STOCHASTIC PROCESSES