Four-Loop Perturbative Expansion for the Lattice $N$-Vector Model

Abstract

We compute the four-loop contributions to the $\beta$-function and the anomalous dimension of the field for the $O(N)$-invariant $N$-vector model. These results are used to compute the second analytic corrections to the correlation length and the general spin-$n$ susceptibility.

29 pages, to appear in Nucl. Phys. B, latex, subeqnar, epsf styles needed, one figure, available also as postscript at http://www1.le.infn.it:8080/~caraccio/95.html

References in corpus (2)

• Asymptotic Scaling in the Two-Dimensional $O(3)$ $\sigma$-Model at Correlation Length $10^5$
• Asymptotic scaling in the two-dimensional $SU(3)$ $\sigma$-model at correlation length $4\times 10^5$

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