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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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29 pages, to appear in Nucl. Phys. B, latex, subeqnar, epsf styles needed, one figure, available also as postscript at http:

Scientific paper

10.1016/0550-3213(95)00438-X

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.

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