Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations

Details Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations

2005-10-23

arxiv.org/abs/hep-lat/0510097v1

PoS LAT2005 (2005) 326

Physics

High Energy Physics

High Energy Physics - Lattice

Talk given at 23rd International Symposium on Lattice Field Field: Lattice 2005, Trinity College, Dublin, Ireland, 25-30 Jul 2

Scientific paper

The study of lowest eigenmodes of the covariant Laplacian in fundamental representation of the gauge group revealed their specific localization properties. These may bear information on confinement of fundamental scalar particles in SU(2) Yang-Mills vacuum. It was expected that scalar particle eigenmodes in other representations would be localized in different physical volumes. However simulations show strikingly different results for the adjoint and higher (J=3/2) representations. Apart from much higher extent of localization, we find evidence of different scaling behavior of localized eigenmodes.

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