Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-17
Phys.Rev. D70 (2004) 045024
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 13 eps figures, uses epsfig and pstricks
Scientific paper
10.1103/PhysRevD.70.045024
We study the realization of dimensional reduction and the validity of the hard thermal loop expansion for lambda phi^4 theory at finite temperature, using an environmentally friendly finite-temperature renormalization group with a fiducial temperature as flow parameter. The one-loop renormalization group allows for a consistent description of the system at low and high temperatures, and in particular of the phase transition. The main results are that dimensional reduction applies, apart from a range of temperatures around the phase transition, at high temperatures (compared to the zero temperature mass) only for sufficiently small coupling constants, while the HTL expansion is valid below (and rather far from) the phase transition, and, again, at high temperatures only in the case of sufficiently small coupling constants. We emphasize that close to the critical temperature, physics is completely dominated by thermal fluctuations that are not resummed in the hard thermal loop approach and where universal quantities are independent of the parameters of the fundamental four-dimensional theory.
Astorga Francisco
Hess Peter O.
Stephens Christopher R.
Weber Axel
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