Abstract
An alternative approach to scalar field quantization is proposed and analyzed, particularly for models, . 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 , the augmented models lead to new noncanonical solutions for . 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.
- Received 26 July 1976
DOI:https://doi.org/10.1103/PhysRevD.14.1952
©1976 American Physical Society