Nonperturbative bounds on 〈φn〉 in cutoff (λφn)d field theory

Charles R. Doering
Phys. Rev. Lett. 55, 1657 – Published 14 October 1985
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Abstract

Stochastic quantization is used to obtain upper and lower bounds on the vacuum expectation value of φn in a cutoff λφn scalar theory in d dimensions. These determine the behavior of 〈φn〉 as the cutoff is removed. The results are given by formulas which depend on whether the values of n and d define a perturbatively superrenormalizable, strictly renormalizable, or nonrenormalizable theory.

  • Received 26 June 1985

DOI:https://doi.org/10.1103/PhysRevLett.55.1657

©1985 American Physical Society

Authors & Affiliations

Charles R. Doering

  • Department of Physics and Center for Relativity, The University of Texas at Austin, Austin, Texas 78712

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Issue

Vol. 55, Iss. 16 — 14 October 1985

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