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Master's Dissertation
DOI
10.11606/D.76.2005.tde-12112007-090407
Document
Author
Full name
Rafael Bertolini Frigori
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2005
Supervisor
Committee
Mendes, Tereza Cristina da Rocha (President)
Ferreira, Luiz Agostinho
Krein, Gastão Inácio
Title in Portuguese
Estudo numérico da transição de fase na QCD a temperatura finita
Keywords in Portuguese
Algoritmos
Lattice
Mecânica estatística
QCD
Simulação de Monte Carlo
Teoria de campos
Transição de fase
Abstract in Portuguese
Em nossas simulações, efetuamos uma cuidadosa análise numérica dos algoritmos de Monte Carlos empregados na termalização de teorias de gauge e sistemas de spins contínuos. Dentre eles, apresentamos uma nova proposta que permite reduzir em cerca de 25% os tempos computacionais. Aplicamos este novo algoritmo ao estudo numérico da transição de desconfinamento da teoria de Yang-Mills (YM) SU(2) tridimensional, a temperatura finita, em redes com volumes de 502 X 4 sítios. Por fim, também utilizamos técnicas de Escala de tamanho finito (FSS), Dinâmica de Tempos Curtos e Métodos Variacionais para extrair os expoentes críticos e espectro de massas de blindagem desta teoria.
Title in English
Numerical study of QCD phase transition at finite temperature
Keywords in English
Algorithms
Fied theory
Lattice
Monte Carlo simulation
Phase transition
QCD
Statistical mechanics
Abstract in English
In our numerical simulations, we have done a careful analysis of Monte-Carlo algorithms usually applied in the thermalization of gauge theories and continuous-spin systems. Among them we present a new proposal that enables a reduction of roughly 25% in the computational time. We apply this new algorithm to a numerical study of the at finite temperature, using lattices with 502 x 4 sites. We also use Finite-Size-Scaling techniques, Short-Time Dynamics and Variational Methods to extract critical exponents and the spectrum of screening masses of the theory.
 
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RafaelFrigori.pdf (2.20 Mbytes)
Publishing Date
2007-11-12
 
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