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Doctoral Thesis
DOI
10.11606/T.43.1979.tde-04122013-180822
Document
Author
Full name
Rogerio Lopez Garcia
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1979
Supervisor
Committee
Fleming, Henrique (President)
Frenkel, Josif
Qualifik, Paul
Ventura, Ivan
Title in Portuguese
Métodos computacionais em teorias de Gauge
Keywords in Portuguese
Teorias de Gauge
Abstract in Portuguese
Apresentamos um método muito simples e eficiente para o cálculo do potencial efetivo para qualquer teoria contendo bósons escalares. Os exemplos incluem a Eletrodinâmica Escalar no gauge quadrático e Teorias de Yang-Mills puras, no gauge de Landau até um Ioop. E também rediscutido o método da fase estacionária, pois este se mostra aplicável ao caso dos férmions. Em seguida é analisado o teorema de Lee-Nauenberg de cancelamento de divergências infravermelhas. As divergências infravermelhas dominantes do operador de evolução temporal são determinadas, no gauge axial para uma teoria de Yang-Mills pura, sem massa. Usando este resultado, vemos que as divergências infravermelhas principais da auto-energia se exponenciam de maneira simples. Para esta mesma teoria mostramos como parte das divergências infravermelhas se cancelam.
Title in English
Computational methods in gauge theories
Keywords in English
Gauge theories
Abstract in English
We present an elementary and efficient method for computing the effective potential for any theory containing scalar bosons. Examples include massless scalar electrodynamics in the quadratic gauge and pure Yang-Mills theories in the Landau gauge, up to one loop. lt is also rediscussed the method of the steepest descent since it is also aplicable to the case of fermions. The Lee-Nauenberg theorem of infrared divergences cancellation is examined. The leading infrared divergences of the temporal evolution operator are determined for puro massless Yang-Mil1s theories in the axial gauge. Using this result it is then shown that the leading infrared singularities of the self-energy function exponentiate in a very simple manner. For these theories partial cancel1ation of infrared divergences are also exhibited.
 
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45722GarciaLopez.pdf (3.93 Mbytes)
Publishing Date
2014-02-18
 
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