Triviality of $\phi^4_4$ in the broken phase revisited

TL;DR

This paper revisits the triviality of four-dimensional $\, ext{phi}^4$ theory in the broken phase using a finite size renormalization scheme and large datasets, providing more precise insights into the theory's behavior.

Contribution

It introduces a finite size renormalization scheme for $\, ext{phi}^4$ theory and applies it to re-investigate triviality at infinite bare coupling, updating previous results with larger data.

Findings

Refined estimates of triviality in $\, ext{phi}^4$ theory.

Confirmation of triviality in the broken phase at large datasets.

Enhanced precision in two-point function measurements.

Abstract

We define a finite size renormalization scheme for $\phi^4$ theory which in the thermodynamic limit reduces to the standard scheme used in the broken phase. We use it to re-investigate the question of triviality for the four dimensional infinite bare coupling (Ising) limit. The relevant observables all rely on two-point functions and are very suitable for a precise estimation with the worm algorithm. This contribution updates an earlier publication by analysing a much larger dataset.