Dynamical suppression of large instantons

Details Dynamical suppression of large instantons Dynamical suppression of large instantons

2001-11-09

arxiv.org/abs/hep-lat/0111017v1

Nucl.Phys.Proc.Suppl.106:584-585,2002

Physics

High Energy Physics

High Energy Physics - Lattice

2 pages, 1 figure, talk presented at Lattice2001(confinement)

Scientific paper

10.1016/S0920-5632(01)01785-6

We investigate the distribution of instanton sizes in the framework of a simplified model for ensembles of instantons. This model takes into account the non-diluteness of instantons. The infrared problem for the integration over instanton sizes is dealt with in a self-consistent manner by approximating instanton interactions by a repulsive hard core potential. This leads to a dynamical suppression of large instantons. The characteristic features of the instanton size distribution are studied by means of analytic and Monte Carlo methods. We find a power law behaviour for small sizes, consistent with the semi-classical results. At large instanton sizes the distribution decays exponentially. The results are compared with those from lattice simulations.

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