Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group
High Energy Physics - Theory
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9803173,
title = {Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group},
author = {Michael Strickland and Sen-Ben Liao},
journal= {arXiv preprint arXiv:hep-th/9803173},
year = {2009}
}
Comments
30 pages, 9 eps figures