Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group: the two dimensional $O(N)$-invariant non linear $σ$-model in the hierarchical approximation

Details Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group: the two dimensional $O(N)$-invariant non linear $σ$-model in the hierarchical approximation Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group: the two dimensional $O(N)$-invariant non linear $σ$-model in the hierarchical approximation

1994-11-25

arxiv.org/abs/hep-th/9411191v2

Nucl.Phys. B440 (1995) 393-404

Physics

High Energy Physics

High Energy Physics - Theory

13 pages in LaTeX, 5 uuencoded PS figures included with epsfig.sty (including of ps-files fixed)

Scientific paper

10.1016/0550-3213(95)00066-2

We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program . The method is based on the analysis of a single renormalization group transformation. We test it on the hierarchical $O(N)$ invariant $\sigma$ model in two dimensions.

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