The <i>δ</i> expansion for stochastic quantization

Carl M. Bender; Fred Cooper; Kimball A. Milton

doi:10.1103/PhysRevD.39.3684

The δ expansion for stochastic quantization

Carl M. Bender, Fred Cooper, and Kimball A. Milton

Phys. Rev. D 39, 3684 – Published 15 June 1989

Abstract

Using a recently proposed perturbation expansion called the δ expansion, we show how to solve the Langevin equation associated with a g $φ^{4}$ field theory. We illustrate the technique in zero- and one-dimensional space-time, and then generalize this approach to d dimensions.

Received 2 February 1989

DOI:https://doi.org/10.1103/PhysRevD.39.3684

Authors & Affiliations

Carl M. Bender

Department of Physics, Washington University, St. Louis, Missouri 63130

Fred Cooper

Department of Physics, Brown University, Providence, Rhode Island 02912
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexic o 87545

Kimball A. Milton

Department of Physics, The Ohio State University, Columbus, Ohio 43210
Department of Physics and Astronomy, University of Oklahoma, Norman, Oklaho ma 73019

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Vol. 39, Iss. 12 — 15 June 1989

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