Consistency of blocking transformations in the finite-temperature renormalization group

被引:10
作者
Liao, SB [1 ]
Strickland, M
机构
[1] Natl Chung Cheng Univ, Dept Phys, Chiayi, Taiwan
[2] Univ Strasbourg 1, Theoret Phys Lab, F-67087 Strasbourg, France
[3] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA
基金
美国国家科学基金会;
关键词
renormalization; group; thermal; blocking;
D O I
10.1016/S0550-3213(98)00456-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:753 / 782
页数:30
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