Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-01-30
Physics
High Energy Physics
High Energy Physics - Theory
7 pages of LaTeX
Scientific paper
$\lambda\varphi^4$ theory at finite temperature suffers from infrared divergences near the temperature at which the symmetry is restored. These divergences are handled using renormalization group methods. Flow equations which use a fiducial mass as flow parameter are well adapted to predicting the non-trivial critical exponents whose presence is reflected in these divergences. Using a fiducial temperature as flow parameter, we predict the critical temperature, at which the mass vanishes, in terms of the zero-temperature mass and coupling. We find some universal amplitude ratios which connect the broken and symmetric phases of the theory which agree well with those of the three-dimensional Ising model obtained from high- and low-temperature series expansions.
Freire Filipe
O'Connor Denjoe
Stephens Christopher R.
van Eijck M. A.
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