0 40 50 23 v 1 2 6 M ay 2 00 4 Finite Size Scaling for O ( N ) φ 4 - Theory at the Upper Critical Dimension
نویسنده
چکیده
A finite size scaling theory for the partition function zeroes and thermodynamic functions of O(N) φ 4-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 φ 4 4-theories for all N .
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تاریخ انتشار 2008