Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group

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.

30 pages, 9 eps figures

References in corpus (1)

• O(N) models within the local potential approximation

Cited by in corpus (9)

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• On the Convergence of the Expansion of Renormalization Group Flow Equation
• Cosmic Censorship in Quantum Einstein Gravity
• Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite Temperature
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• The scaling region of the lattice O(N) sigma model at finite temperature