Title
Solitons as baryons and qualitons as constituent quarks in two-dimensional QCD
Date Issued
01 January 2013
Access level
metadata only access
Resource Type
book part
Author(s)
Carrion H.
Universidade Federal de Mato Grosso
Publisher(s)
Nova Science Publishers, Inc.
Abstract
We study the soliton type solutions arising in two-dimensional quantum chromodynamics (QCD2). In bosonized QCD2 these type of solutions emerge as describing baryons and quark solitons (excitations with "colored" states), respectively. The socalled generalized sine-Gordon model (GSG) arises as the low-energy effective action of bosonized QCD2 for unequal quark mass parameters, and it has been shown that the relevant solitons describe the normal and exotic baryonic spectrum of QCD2 [JHEP(03)(2007)(055)]. In the first part of this chapter we classify the soliton and kink type solutions of the sl(3) GSG model with three real fields, which corresponds to QCD2 with three flavors. Related to the GSG model we consider the sl(3) affine Toda model coupled to matter fields (Dirac spinors) (ATM). The strong coupling sector is described by the sl(3) GSG model which completely decouples from the Dirac spinors. In the spinor sector we are left with Dirac fields coupled to GSG fields. Based on the equivalence between the U(1) vector and topological currents, which holds in the ATM model, it has been shown the confinement of the spinors inside the solitons and kinks of the GSG model providing an extended hadron model for "quark" confinement [JHEP(01)(2007)(027)]. Moreover, it has been proposed that the constituent quark in QCD is a topological soliton. These qualitons (quark solitons), topological excitations with the quantum numbers of quarks, may provide an accurate description of what is meant by constituent quarks in QCD. In the second part of this chapter we discuss the appearance of these type of quark solitons in the context of bosonized QCD2 (with Nf = 1 and Nc colors) and the relevance of the sl(2) ATM model in order to describe the confinement of the color degrees of freedom. We have shown that QCD2 has quark soliton solutions if the quark mass is sufficiently large. © 2009 Nova Science Publishers, Inc. All rights reserved.
Start page
197
End page
225
Language
English
OCDE Knowledge area
Física nuclear
Scopus EID
2-s2.0-84895318987
Resource of which it is part
The Physics of Quarks: New Research
ISBN of the container
978-160456802-8
Sources of information:
Directorio de Producción Científica
Scopus