Nonrenormalizability and Nontriviality

TL;DR

This paper proposes a new lattice formulation for covariant ^n models with n, aiming to achieve nontrivial quantum field theories in the continuum limit, addressing issues of nonrenormalizability and lack of conventional scattering.

Contribution

It introduces an alternative lattice action for ^n models that may produce nontrivial continuum quantum field theories, a significant departure from traditional approaches.

Findings

Proposes a redesigned lattice action for ^n models.

Suggests the potential for nontrivial continuum limits.

Explains the absence of conventional scattering via limit interchange.

Abstract

A redesigned starting point for covariant \phi^4_n, n\ge 4, models is suggested that takes the form of an alternative lattice action and which may have the virtue of leading to a nontrivial quantum field theory in the continuum limit. The lack of conventional scattering for such theories is understood through an interchange of limits.