Renormalization Group Flow Equations and the Phase Transition in O(N)-models
O. Bohr, B. -J. Schaefer, J. Wambach
Abstract
We derive and solve flow equations for a general O(N)-symmetric effective potential including wavefunction renormalization corrections combined with a heat-kernel regularization. We investigate the model at finite temperature and study the nature of the phase transition in detail. Beta functions, fixed points and critical exponents β, ν, δand ηfor various N are independently calculated which allow for a verification of universal scaling relations.
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