Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-11-30
Int.J.Mod.Phys. A10 (1995) 3343-3358
Physics
High Energy Physics
High Energy Physics - Theory
14 pages of LaTeX. Postscript figures available upon request form denjoe@stp.dias.ie
Scientific paper
We study $\l\f^4$ theory using an environmentally friendly finite-temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet and infrared divergences, then integrate them numerically from zero to temperatures above the critical temperature. The critical temperature, at which the mass vanishes, is obtained by integrating the flow equations and is determined as a function of the zero-temperature mass and coupling. We calculate the field expectation value and minimum of the effective potential as functions of temperature and derive some universal amplitude ratios which connect the broken and symmetric phases of the theory. The latter are found to be in good agreement with those of the three-dimensional Ising model obtained from high- and low-temperature series expansions.
O'Connor Denjoe
Stephens Christopher R.
van Eijck M. A.
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