1999/11/25 by Margarita Garcı́a Pérez, M. Garcia Perez, T. G. Kovacs +3
Computer Science · Mathematics · Physics and Astronomy · #Charge (physics) #Combinatorics #Computer science #Distribution (mathematics) #Duality (order theory) #Instanton #Lattice (music) #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Information and Cryptography #Quantum mechanics #Space (punctuation) #Statistical physics #Theoretical and Computational Physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(99)01451-3
published as Phys.Lett. B472 (2000) 295-301 · LaTeX, 15 pages, 3 figures
arxiv created 1999/11/25 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
By studying the non-linear effects of overlapping instanton pairs we address difficulties in the identification of instanton distributions when the average instanton size is comparable to the average distance. For the exact charge two solution, we study how its parametrisation relates to a description in terms of individual instantons. There exist two dual sets of parameters describing the same charge two instanton solution. This duality implies the existence of a minimal separation between two instantons. Conventionally used lattice instanton finder algorithms based on the assumption of diluteness tend to underestimate instanton sizes. Finally we numerically confirm this for realistic parameters of the instanton liquid. The effect is enhanced by parallel orientation in group space.