A finite size scaling theory for the partition function zeroes and thermodynamic functions of O(N) φ4-theory in four dimensions is derived from renormalization group methods. The leading scaling behaviour is mean-field like with multiplicative logarithmic corrections which are linked to the triviality of the theory. These logarithmic corrections are independent of N for odd thermodynamic quantities and associated zeroes and are N dependent for the even ones. Thus a numerical study of finite size scaling in the Ising model serves as a non-perturbative test of triviality of φ44-theories for all N.
Bibliographical noteThe full text is also available from: http://de.arxiv.org/abs/hep-lat/0405023
NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, [691, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.05.012
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