Effective scalar fields in Yang-Mills theories

TL;DR

This paper explores the role of effective scalar fields in Yang-Mills theories, comparing lattice simulation results with dual models, and discusses their potential impact on understanding the Yang-Mills plasma in the deconfining phase.

Contribution

It investigates the correspondence between lattice phenomenology and dual models regarding effective scalar fields in Yang-Mills theories, with implications for plasma dynamics.

Findings

Lattice simulations reveal the existence of scalar-like structures in Yang-Mills theories.

Dual models predict low-dimension vacuum defects that may correspond to effective scalars.

Potential significance of effective scalars in the behavior of the Yang-Mills plasma.

Abstract

Scalar fields play a crucial role in the Standard model. On the other hand, in the weak-coupling regime there is an unsolved problem of the quadratic divergence of scalar masses. Thus, it is natural to turn to composite, or effective scalar fields in the strong-coupling regime. Lattice simulations provide information on the "actually existing" scalar fields in Yang-Mills theories. On the continuum-theory side, dual models predict existence of various low-dimension vacuum defects, including probably scalar particles. We are looking for correspondence between the two frameworks, of lattice phenomenology and dual models, and discuss possible applications to the theory of the Yang-Mills plasma in the deconfining phase. It is not ruled out that the effective scalars play important role in the plasma dynamics.