Does stochastic analytic regularization provide quantum field theories

Journal Article · Mon Feb 10 04:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000375· OSTI ID:5593987

Martin, C P ^[1]

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1. Dept. of Applied Mathematics and Theoretical Physics, Univ. of Cambridge, Silver Street, Cambridge CB3 9EW (GB)

In this paper, the authors analyze whether the so-called method of stochastic analytic regularization is suitable as an intermediate step for constructing perturbative renormalized quantum field theories. The authors choose a {lambda}{phi}{sup 3} in six dimensions to prove that this regularization method does not in general provide a quantum field theory. This result seems to apply to any field theory with a quadratically UV-divergent stochastic two-point function, for instance {lambda}{phi}{sup 4} and gauge theories in four dimensions.

• OSTI ID: 5593987
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:4; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MANY-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
PHI4-FIELD THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
STOCHASTIC PROCESSES