Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-10-21
Phys.Rev. D67 (2003) 057901
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages; minor changes, version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.67.057901
This short note considers, within the external field approach outlined in hep-ph/0202026, the role of the lowest lying gluon Landau mode in QCD in the high temperature limit. Its influence on a temperature- and field-dependent running coupling constant is examined. The thermal imaginary part of the mode is temperature-independent in our approach and exactly cancels the well-known zero temperature imaginary part, thus rendering the Savvidy vacuum stable. Combining the real part of the mode with the contributions from the higher lying Landau modes and the vacuum contribution, a field-independent coupling alpha_s(T) is obtained. It can be interpreted as the ordinary zero temperature running coupling constant with average thermal momenta
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