Performance of a worm algorithm in $\phi^4$ theory at finite quartic coupling

TL;DR

This paper evaluates the efficiency of worm algorithms in simulating scalar field theories with finite and zero quartic coupling across different dimensions, extending their application beyond the infinite coupling limit.

Contribution

It investigates the performance of worm algorithms at finite and zero quartic coupling in scalar field theories, broadening their applicability beyond the infinite coupling scenario.

Findings

Worm algorithms remain effective at finite and zero quartic coupling.

Performance varies with dimension and coupling strength.

Results provide insights into algorithmic efficiency in different regimes.

Abstract

Worm algorithms have been very successful with the simulation of sigma models with fixed length spins which result from scalar field theories in the limit of infinite quartic coupling lambda. Here we investigate closer their algorithmic efficiency at finite and even vanishing lambda for the one component model in dimensions D = 2, 3, 4.