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Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum | | J. Greensite
; H. Matevosyan
; S. Olejnik
; M. Quandt
; H. Reinhardt
; A. P. Szczepaniak
; | | Date: |
19 Feb 2011 | | Abstract: | We review a method, suggested many years ago, to numerically measure the
relative amplitudes of the true Yang-Mills vacuum wavefunctional in a finite
set of lattice-regulated field configurations. The technique is applied in 2+1
dimensions to sets of abelian plane wave configurations of varying amplitude
and wavelength, and sets of non-abelian constant configurations. The results
are compared to the predictions of several proposed versions of the Yang-Mills
vacuum wavefunctional that have appeared in the literature. These include (i) a
suggestion in temporal gauge due to Greensite and Olejnik; (ii) the "new
variables" wavefunction put forward by Karabali, Kim, and Nair; (iii) a hybrid
proposal combining features of the temporal gauge and new variables
wavefunctionals; and (iv) Coulomb gauge wavefunctionals developed by Reinhardt
and co-workers, and by Szczepaniak and co-workers. We find that wavefunctionals
which simplify to a "dimensional reduction" form at large scales, i.e. which
have the form of a probability distribution for two-dimensional lattice gauge
theory, when evaluated on long-wavelength configurations, have the optimal
agreement with the data. | | Source: | arXiv, 1102.3941 | | Services: | Forum | Review | PDF | Favorites | |
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