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arxiv: hep-th/9701028 · v3 · submitted 1997-01-08 · ✦ hep-th · cond-mat.stat-mech· hep-lat

O(N) models within the local potential approximation

Jordi Comellas , Alex Travesset This is my paper
classification ✦ hep-th cond-mat.stat-mechhep-lat
keywords equationapproximationcriticalfixedlargelocalmodelspoints
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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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