Distribution of instanton sizes in a simplified instanton gas model

Citation
G. Munster et C. Kamp, Distribution of instanton sizes in a simplified instanton gas model, EUR PHY J C, 17(3), 2000, pp. 447-454
Citations number
32
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
17
Issue
3
Year of publication
2000
Pages
447 - 454
Database
ISI
SICI code
1434-6044(200011)17:3<447:DOISIA>2.0.ZU;2-M
Abstract
We investigate the distribution of instanton sizes in the framework of a si mplified model for ensembles of instantons, This model takes into account t he non-diluteness of instantons. The infrared problem for the integration o ver instanton sizes is dealt with in a self-consistent manner by approximat ing instanton interactions by a repulsive hard core potential. This leads t o a dynamical suppression of large instantons. The characteristic features of the instanton size distribution are studied by means of analytic and Mon te: Carlo methods. In one dimension exact results can be derived. In ang di mension we find a power law behaviour for small sizes, consistent with the semi-classical results. At large instanton sizes the distribution decays ex ponentially. The results are compared with those from lattice simulations.