Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group

Details Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group

1998-03-20

arxiv.org/abs/hep-th/9803173v1

Nucl.Phys. B532 (1998) 753-782

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 9 eps figures

Scientific paper

10.1016/S0550-3213(98)00456-8

The finite-temperature renormalization group is formulated via the Wilson-Kadanoff blocking transformation. Momentum modes and the Matsubara frequencies are coupled by constraints from a smearing function which plays the role of an infrared cutoff regulator. Using the scalar lambda phi^4 theory as an example, we consider four general types of smearing functions and show that, to zeroth-order in the derivative expansion, they yield qualitatively the same temperature dependence of the running constants and the same critical exponents within numerical accuracy.

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