Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter

TL;DR

This paper investigates how the inclusion of the Gribov horizon affects the infrared behavior of Yang-Mills-Chern-Simons theory with a fundamental Higgs field, revealing conditions for confinement and deconfinement.

Contribution

It provides a detailed analysis of the gauge field propagator's infrared structure considering the Gribov horizon in a Higgs-coupled Yang-Mills-Chern-Simons system, highlighting the transition between confined and deconfined phases.

Findings

Confined phase characterized by complex poles in propagators.

Deconfined phase characterized by real poles in propagators.

Transition between phases controlled by theory parameters.

Abstract

In this work we study the behaviour of Yang--Mills--Chern--Simons theory coupled to a Higgs field in the fundamental representation by taking into account the effects of the presence of the Gribov horizon. By analyzing the infrared structure of the gauge field propagator, both confined and de-confined regions can be detected. The confined region corresponds to the appearance of complex poles in the propagators, while the de-confined one to the presence of real poles. One can move from one region to another by changing the parameters of the theory.