Finite-Size Scaling in the $O(N)$ $φ^4_4$ Model

Details Finite-Size Scaling in the $O(N)$ $φ^4_4$ Model Finite-Size Scaling in the $O(N)$ $φ^4_4$ Model

1993-07-05

arxiv.org/abs/hep-lat/9307003v1

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages

Scientific paper

Perturbation theory and renormalization group methods are used to derive a finite-size scaling theory for the partition function zeroes and thermodynamic functions in the $O(n)$ $\phi^4$ model in four dimensions. The leading power--law scaling behaviour is the same as that of the mean field theory. There exist, however, multiplicative logarithmic corrections which are linked to the triviality of the theory.

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