O( N) models within the local potential approximation
Abstract
Using the WegnerHoughton 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 → ∞. Polchinski's 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 zeromodes.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)003490
 arXiv:
 arXiv:hepth/9701028
 Bibcode:
 1997NuPhB.498..539C
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Lattice
 EPrint:
 27 pages, LaTeX with psfig, 7 PostScript figures. One reference corrected and one added with respect to the journal version