1997/01/31 by Jordi Comellas, Alex Travesset · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00349-0
published as Nucl.Phys. B498 (1997) 539-564 · 27 pages, LaTeX with psfig, 7 PostScript figures. One reference corrected and one added with respect to the journal version
arxiv created 1997/07/31 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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→∞. 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.