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https://hdl.handle.net/2440/88373
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Type: | Journal article |
Title: | Testing proposals for the Yang-Mills vacuum wavefunctional by measurement of the vacuum |
Author: | Greensite, J. Matevosyan, H. Olejník, Š. Quandt, M. Reinhardt, H. Szczepaniak, A. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 2011; 83(11):114509-1-114509-20 |
Publisher: | American Physical Society |
Issue Date: | 2011 |
ISSN: | 1550-7998 1550-2368 |
Statement of Responsibility: | J. Greensite, H. Matevosyan, S. Olejník, M. Quandt, H. Reinhardt and A. P. Szczepaniak |
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 Olejník; (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. |
Rights: | © 2011 American Physical Society |
DOI: | 10.1103/PhysRevD.83.114509 |
Published version: | http://dx.doi.org/10.1103/physrevd.83.114509 |
Appears in Collections: | Aurora harvest 2 Chemistry and Physics publications |
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