2012/01/27 by Yannick Meurice, Y. Meurice, Meurice, Y. +2
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.1201.5710
7 pages, talk given at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 2011, Squaw Valley, Lake Tahoe, California, USA
arxiv created 2012/01/27 · openalex publication_date 2012/01/27 · arxiv updated 2012/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In many cases of interest, the perturbative series based on conventional Feynman diagrams have a zero radius of convergence. Series with a finite radius of convergence can be obtained by either introducing a large field cutoff or by replacing the exponential of the perturbation by a sequence of approximants as recently proposed by Pollet, Prokof'ev, and Svistunov. We compare these two methods for integrals and quantum mechanical problems. The two methods perform well in complementary regime (strong coupling for the large field cutoff and intermediate coupling for the other method). We briefly discuss potential applications for lattice gauge theory with compact groups (which have a build-in large field cutoff).