O(N) models within the local potential approximation

Details O(N) models within the local potential approximation O(N) models within the local potential approximation

1997-01-08

arxiv.org/abs/hep-th/9701028v3

Nucl.Phys. B498 (1997) 539-564

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX with psfig, 7 PostScript figures. One reference corrected and one added with respect to the journal version

Scientific paper

10.1016/S0550-3213(97)00349-0

Using Wegner-Houghton equation, within the Local Potential Approximation, we study critical properties of O(N) vector models. Fixed Points, together with their critical exponents and eigenoperators, are obtained for a large set of values of N, including N=0 and N\to\infty. Polchinski equation is also treated. The peculiarities of the large N limit, where a line of Fixed Points at d=2+2/n is present, are studied in detail. A derivation of the equation is presented together with its projection to zero modes.

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