Logarithmic temperature contributions in Yang-Mills theory in the temporal axial gauge

Author(s)

Alex Guerra

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2002-07-29

Examining board members

Josif Frenkel; João Barcelos Neto; Henrique Fleming; Jorge Lacerda de Lyra; Alfredo Takashi Suzuki

• Advisor: Josif Frenkel

Abstract

This thesis studies the In(T) contributions of the three-point function in the Yang-Mills theory in the temporal axial gauge at one-loop level in high-temperature limit. We proved that such contributions satisfy an abelian Ward identity which relates them with the gluon polarization tensor, concluding that they are Lorentz invariant and have the same structure of the ultraviolet poles which occur at zero temperature. Using a simple prescription for the renormalization constants and the finite-temperature renormalization group equations, it was possible to show that the effective coupling constant decreases logarithmically as a function of temperature, in accordance with asymptotic freedom, and is identical to the results obtained in a general class of covariant gauges. (AU)