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Doctoral Thesis
DOI
10.11606/T.76.2005.tde-25032014-161507
Document
Author
Full name
Antônio Francisco Neto
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2005
Supervisor
Committee
Veiga, Paulo Afonso Faria da (President)
Barata, Joao Carlos Alves
Ferreira, Luiz Agostinho
Koberle, Roland
Oliveira, Cesar Rogerio de
Title in Portuguese
Espectro de energia-momento para a cromodinâmica quântica na rede
Keywords in Portuguese
Cromodinâmica quântica
Equação de Bethe-Salpeter
Espectro de energia-momento
Abstract in Portuguese
Consideramos aqui a obtenção da parte inferior do espectro de energia-momento para modelos de Cromodinâmica Quântica (QCD) na rede, na formulação usando integral funcional com tempo imaginário e no regime de acoplamento forte, isto é, com o parâmetro de "hopping'' κ > 0 satisfazendo 1 >> κ >> β > 0, onde β ≡ g-20 é o parâmetro de acoplamento da interação dos campos de calibre entre si, aqui definidos na álgebra de Lie $SU(3)$. Consideramos modelos de QCD com campos fermiônicos de quarks com um ou dois sabores (isospin) e em $2+1$ e $3+1$ dimensões, com diferentes dimensionalidades para matrizes de spin. Analisamos o setor mesônico: o espectro de uma e duas partículas. Detectamos estados de um méson e obtivemos suas aberturas de massa. Detectamos também, dependendo do modelo tratado, estados ligados de dois mésons. A existência de estados ligados de um méson e um bárion foi também analisada
Title in English
Energy-momentum spectrum for lattice quantum chromodynamics
Keywords in English
Bound states
Energy-momentum spectrum
Lattice QCD
Particle spectrum
Abstract in English
We consider the energy-momentum spectrum of lattice quantum chromodynamics (QCD) models, using the functional integral formulation, with imaginary time and in the strong coupling regime. This regime corresponds to taking the hopping parameter $\kappa>0$ satisfying $1>>\kappa>>\beta>0$, where $\beta\equiv g_0^$ is the coupling parameter among the gauge fields, here defined in the $SU(3)$ Lie algebra. We consider QCD models with fermionic quark fields with one and two flavors (isospin) and in $2+1$ and $3+1$ dimensions, and different types of spin matrices. We analyzed the mesonic sector: one and two-particle spectra. We detected one-meson states and obtained their mass splittings. Depending on the model, two-meson states were also obtained. The existence of bound states of one baryon and one meson was also analyzed
 
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Publishing Date
2014-04-03
 
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