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Augmented quantum field theory: A proposal to extend conventional formulations

John R. Klauder

  • Bell Laboratories, Murray Hill, New Jersey 07974

Phys. Rev. D 14, 1952 – Published 15 October, 1976

DOI: https://doi.org/10.1103/PhysRevD.14.1952

Abstract

An alternative approach to scalar field quantization is proposed and analyzed, particularly for (ϕ4)n models, n2. Without altering the classical equation of motion at all, the action is "augmented" by an additional term that in effect induces a new measure in a functional integration approach to quantization. Guided by specialized soluble models, a lattice-space formulation is proposed for covariant theories for which in the continuum limit the truncated four-point correlation function is non-negative in contrast to the conventional formulation. Besides suggesting nontrivial behavior for n4, the augmented models lead to new noncanonical solutions for n=2, 3. All solutions of the augmented models are disconnected from those of the conventional approach in the sense that the augmented models pass to a pseudofree model differing from the free model as the nonlinear coupling constant vanishes.

Comments & Replies

Nonperturbative renormalizability for a class of gradient-free models

R. Kotecký and D. Preiss
Phys. Rev. D 18, 2187 (1978)

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