Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions

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dc.creatorGreensite, J.
dc.creatorOlejnik, S.
dc.date2007-07-19
dc.date2008-02-01
dc.date.accessioned2026-07-07T11:17:55Z
dc.date.available2026-07-07T11:17:55Z
dc.descriptionWe propose an approximation to the ground state of Yang-Mills theory, quantized in temporal gauge and 2+1 dimensions, which satisfies the Yang-Mills Schrodinger equation in both the free-field limit, and in a strong-field zero mode limit. Our proposal contains a single parameter with dimensions of mass; confinement via dimensional reduction is obtained if this parameter is non-zero, and a non-zero value appears to be energetically preferred. A method for numerical simulation of this vacuum state is developed. It is shown that if the mass parameter is fixed from the known string tension in 2+1 dimensions, the resulting mass gap deduced from the vacuum state agrees, to within a few percent, with known results for the mass gap obtained by standard lattice Monte Carlo methods.
dc.description14 pages, 9 figures. v2: Typos corrected. v3: added a new section discussing alternative (new variables) approaches, and fixed a problem with the appearance of figures in the pdf version. Version to appear in Phys Rev D
dc.identifierhttps://arxiv.org/abs/0707.2860
dc.identifierhttp://arxiv.org/abs/0707.2860
dc.identifierPhys.Rev.D77:065003,2008
dc.identifierdoi:10.1103/PhysRevD.77.065003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193174
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleDimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
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