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

Sergio Caracciolo; Andrea Pelissetto

doi:10.1016/0550-3213(95)00438-X

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

High Energy Physics - Lattice 2009-10-28 v2

Authors: Sergio Caracciolo , Andrea Pelissetto

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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.

Keywords

anomalous dimensions in qcd

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@article{arxiv.hep-lat/9510015,
  title  = {Four-Loop Perturbative Expansion for the Lattice $N$-Vector Model},
  author = {Sergio Caracciolo and Andrea Pelissetto},
  journal= {arXiv preprint arXiv:hep-lat/9510015},
  year   = {2009}
}

Comments

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

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

Abstract

Keywords

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