Deformed Algebras in NJL model: breaking and restoration of chiral symmetry

Author(s)

Varese Salvador Timóteo

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2000-02-17

Examining board members

Celso Luiz Lima; Sidney dos Santos Avancini; Antônio Delfino Júnior; Tobias Frederico; Manoel Roberto Robilotta

• Advisor: Celso Luiz Lima

Abstract

This work is a result of a serie of studies where the aim is to investigate the influence of a de- formed fermionic algebra in the mechanisms of breaking and restoration of chiral symmetry in the Nambu-Jona-Lasinio model. This model was chosen because it is an effective model for QCD which shows with reasonable facility one of its main features, the dynamical breaking of chiral symmetry and the generation of a dynamical mass for the quarks. The work can be divided essentialy in three parts. The first consists in a initial study where the deformation was implemented directly in the gap equation of the NJL model through a defor- med calculation of the condensates. In second part, the same deformation procedure was applied in the Hamiltonian of the model allowing their effects to be propagated in the calcula- tions till a new gap equation. A natural extension of the work is a study of the deformed model at finite temperature, where the coexistence of temperature and algebric deformation can be investigated. This study is the third part of the work. (AU)