1996/02/01 by Ken-Ichi Aoki, Kenichi Aoki, Keiichi Morikawa +6 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1143/ptp.95.409
published as Prog.Theor.Phys. 95 (1996) 409-420 · 13 pages, latex, 6 figures
openalex publication_date 1996/02/01 · arxiv created 1996/12/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions (3 ≤ d ≤ 4). The leading critical exponents ν are calculated in order to investigate the effectiveness of the local potential approximation by comparing them with other non-perturbative methods. We show analytically that the local potential approximation gives the exact exponents up to O(ε) in ε-expansion and the leading in 1/N-expansion. We claim that this approximation offers fairly accurate results in the whole range of the parameter space of N and d. It is a great advantage of our method that no diverging expansions appear in the procedure.