Scalar-matter-gluon interaction

TL;DR

This paper investigates the non-perturbative interactions between scalar matter fields and gluons in gauge theories using lattice simulations, focusing on correlation functions in Landau gauge.

Contribution

It provides the first lattice analysis of gluon-scalar interactions for both fundamental and adjoint scalars, including two- and three-point functions, in quenched approximation.

Findings

Scalars are only slightly affected by gluon interactions.

No significant changes observed in the confinement region for dynamical scalars.

Correlation functions align with minimal impact of gluons on scalar fields.

Abstract

A full non-perturbative treatment of gauge theories requires to include matter fields on equal footing with the gauge fields. Scalar matter can act as a role model for generic matter, as many questions, e.g. confinement, can be posed without referring to a particular Lorentz structure. Due to their rather simple structure they are also useful to develop methods. One possible way to describe gauge theories beyond perturbation theory is based on correlation functions. After a short discussion of the setup, lattice gauge theory is used to analyze the interaction of gluons with quenched fundamental and adjoint scalars. Both the two-point and three-point correlation functions for massive and massless adjoint and fundamental scalars will be determined, in minimal Landau gauge. The findings are in agreement with the possibility that scalars are only slightly affected by the interaction with gluons. The results are compared briefly with dynamical, massive scalars, showing no significant changes in the confinement region compared to the quenched case.