2001/02/06 by Tim R. Morris, John F. Tighe
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1142/s0217751x01004761
published as Int.J.Mod.Phys. A16 (2001) 2095-2100 · 6 pages, 3 figures, presented at the 2nd Conference on the Exact RG, Rome 2000
arxiv created 2001/02/06 · openalex publication_date 2001/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the β function of massless scalar λφ 4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff.