Lattice instanton action from 3D SU(2) Georgi-Glashow model

Details Lattice instanton action from 3D SU(2) Georgi-Glashow model Lattice instanton action from 3D SU(2) Georgi-Glashow model

2001-01-07

arxiv.org/abs/hep-lat/0101004v2

JHEP 0104:026,2001

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, 16 figures

Scientific paper

10.1088/1126-6708/2001/04/026

3D Georgi-Glashow model is studied on the lattice in the London limit in an infrared but an intermediate region before the screening appears. Abelian and instanton dominances are observed after abelian projections in a unitary gauge and roughly in the maximally abelian gauge. Using an inverse Monte-Carlo method, we determine an effective instanton action in both gauges. When we restrict ourselves to some regions of parameters $\beta$ and $\kappa$, we obtain an almost perfect instanton action, performing a block-spin transformation on the dual lattice. It takes a form of a Coulomb gas and reproduces fairly well the string tension obtained analytically by Polyakov. The almost perfect actions in both gauges look the same in the infrared region, which suggests gauge independence.

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