Lattice instanton action from 3-D SU(2) Georgi-Glashow model
Jan, 200127 pages
Published in:
- JHEP 04 (2001) 026
e-Print:
- hep-lat/0101004 [hep-lat]
Report number:
- KANAZAWA-2000-15
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Abstract:
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 and , 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.- Georgi-Glashow model: SU(2)
- dimension: 3
- lattice field theory
- instanton
- effective action
- unitary gauge
- gauge: abelian
- block spin transformation
- gas: Coulomb
- string tension
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