Rotational Symmetry and Regularization Dependence in the $\Phi^4_4$-Model

TL;DR

This paper investigates how different lattice actions affect rotational symmetry and regularization dependence in the $\

Contribution

It introduces a measure for rotational symmetry violation to compare regularization effects on the triviality bound in $\

Findings

Rotational symmetry violation varies with lattice action.

Regularization impacts the triviality bound.

Differences observed between Gaussian and Ising models.

Abstract

We study the one component $\Phi^4$ model for four different lattice actions in the Gaussian limit and for the Ising model in the broken phase. Emphasis is put on the euclidean invariance properties of the boson propagator. A measure of the violation of rotational symmetry serves as a tool to compare the regularization dependence of the triviality bound.