Confinement inF4Exceptional Gauge Group Using Domain Structures

Shahnoosh Rafibakhsh,Amir Shahlaei,Y. Foka,N. Brambilla,V. Kovalenko

doi:10.1051/epjconf/201713713013

Shahnoosh Rafibakhsh, Amir Shahlaei + Show 3 more

Open Access

https://doi.org/10.1051/epjconf/201713713013

Copy DOI

Abstract

We calculate the potential between static quarks in the fundamental representation of the F 4 exceptional gauge group using domain structures of the thick center vortex model. As non-trivial center elements are absent, the asymptotic string tension is lost while an intermediate linear potential is observed. SU (2) is a subgroup of F 4 . Investigating the decomposition of the 26 dimensional representation of F 4 to the SU (2) representations, might explain what accounts for the intermediate linear potential, in the exceptional groups with no center element.

Highlights

Quarks -the fundamental particles of nature- interact via non-Abelian gauge fields namely gluons
Confinement could be related to the formation of an electric flux tube and a linear potential between static quarks
QCD vacuum is assumed to be filled with topological field configurations such as magnetic monopoles, center vortices, merons and caloron gas [1]. These objects cause the expectation value of a large Wilson loop to obey the area-law falloff which implies a linear potential between static quarks

Summary

Introduction

Quarks -the fundamental particles of nature- interact via non-Abelian gauge fields namely gluons. There are vast variety of methods, from Lattice Gauge Theory to different Phenomenological Models In the latter, QCD vacuum is assumed to be filled with topological field configurations such as magnetic monopoles, center vortices, merons and caloron gas [1]. QCD vacuum is assumed to be filled with topological field configurations such as magnetic monopoles, center vortices, merons and caloron gas [1] These objects cause the expectation value of a large Wilson loop to obey the area-law falloff which implies a linear potential between static quarks. The original center vortex theory was capable of explaining quark confinement at large distances, yet unqualified to illustrate the intermediate linear potential, in particular, for higher representations.

Thick Center Vortex Model with Trivial and Non-Trivial Center Elements

Some Properties of F4 Exceptional Group

Potentials of the F4 Exceptional Group

Conclusion