2014/02/11 by Irais Bautista, Bautista, Irais, Wolfgang Bietenholz +9 · 1 citation
Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Parallel Computing and Optimization Techniques #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.48550/arxiv.1402.2668
8 pages, LaTex, 6 figures, 2 tables. Poster presented at the XIV Mexican Workshop on Particles and Fields, Oaxaca, November 2013
arxiv created 2014/02/11 · openalex publication_date 2014/02/11 · arxiv updated 2014/02/13 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28
We consider models with topological sectors, and difficulties with their Monte Carlo simulation. In particular we are concerned with the situation where a simulation has an extremely long auto-correlation time with respect to the topological charge. Then reliable numerical measurements are possible only within single topological sectors. The challenge is to assemble such restricted measurements to obtain an approximation for the full-fledged result, which corresponds to the correct sampling over the entire set of configurations. Under certain conditions this is possible, and it provides in addition an estimate for the topological susceptibility chit. Moreover, the evaluation of chit might be feasible even from data in just one topological sector, based on the correlation of the topological charge density. Here we present numerical test results for these techniques in the framework of non-linear sigma-models.