Extended instantons generated on the lattice

Details Extended instantons generated on the lattice Extended instantons generated on the lattice

1996-08-12

arxiv.org/abs/hep-lat/9608060v1

Nucl.Phys.Proc.Suppl. 53 (1997) 567-569

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at the LATTICE96(topology) ,uuencoded 3 pp in Latex, 1 ps fig., uses espcrc2.sty and epsf to include fig

Scientific paper

10.1016/S0920-5632(96)00720-7

We have been able to observe directly extended instantons on the lattice, with a new method that does not require dislocations to measure them, and where we do not perform cooling. We showed, based on the simple Abelian Higgs model in $1+1$ dim., that one can extract the instanton and anti-instanton density and their size, by measuring the topological charge, $Q_v$ , on sub-volumes $v$ larger than the instanton sizes, but smaller than the periodic lattice of size $V$. We are working on the generalization for non-abelian models.

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