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arXiv · hep-th/9803173

Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group

Michael Strickland·Sen-Ben Liao
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Abstract

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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Michael Strickland, Sen-Ben Liao. 1998-03-20. Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group. https://doi.org/10.1016/s0550-3213(98)00456-8

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