A remark on the numerical validation of triviality for scalar field theories using high-temperature expansions

TL;DR

This paper proposes a simple modification to high-temperature expansion analysis in 4D phi^4 lattice scalar field theory, improving numerical validation of the theory's triviality in the continuum limit.

Contribution

It introduces a straightforward adjustment to existing high-temperature expansion methods to better confirm the triviality of the continuum limit in scalar field theories.

Findings

Enhanced numerical validation of triviality in 4D phi^4 theory

More convincing evidence for the continuum limit behavior

Improved analysis procedure for high-temperature expansions

Abstract

We suggest a simple modification of the usual procedures of analysis for the high-temperature (strong-coupling or hopping-parameter) expansions of the renormalized four-point coupling constant in the fourdimensional phi^4 lattice scalar field theory. As a result we can more convincingly validate numerically the triviality of the continuum limit taken from the high temperature phase.