Gauge-invariant ground state for canonically quantized Yang-Mills theory

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dc.creatorMaitra, Rachel Lash
dc.date2008-04-18
dc.date.accessioned2026-07-07T09:33:27Z
dc.date.available2026-07-07T09:33:27Z
dc.descriptionWe use Hamilton-Jacobi theory to construct a gauge-invariant zero-energy candidate ground state for canonically quantized Yang-Mills theory with a "nonlinear normal" factor ordering, generalizing an analogous ordering introduced by Moncrief and Ryan for problems with finitely many degrees of freedom. Invariance under spatial rotations and translations is immediate; boost invariance remains under investigation. The motivation is to find a model for constructing a candidate ground state in general relativity, canonically quantized a la the Ashtekar variables. We seek to avoid replicating some of the more troublesome features of the Kodama state, inherited from the Chern-Simons state.
dc.description20 pages, 0 figures. Submitted to Communications in Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0804.3015
dc.identifierhttp://arxiv.org/abs/0804.3015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159141
dc.subjectMathematical Physics
dc.subject81T13
dc.titleGauge-invariant ground state for canonically quantized Yang-Mills theory
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