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Finite-Temperature Renormalization Group Predictions: The Critical Temperature Exponents, and Amplitude Ratios

F. Freire·Denjoe O'Connor·C. R. Stephens·M. A. van Eijck
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Abstract

$λφ^4$ 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.

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F. Freire, Denjoe O'Connor, C. R. Stephens, M. A. van Eijck. 1996-01-30. Finite-Temperature Renormalization Group Predictions: The Critical Temperature Exponents, and Amplitude Ratios. https://arxiv.org/abs/hep-th/9601165

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