Notes on the Hamiltonian formulation of 3D Yang-Mills theory

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dc.creatorFukuma, Masafumi
dc.creatorKatayama, Ken-Ichi
dc.creatorSuyama, Takao
dc.date2007-11-27
dc.date2008-03-18
dc.date.accessioned2026-07-07T11:38:56Z
dc.date.available2026-07-07T11:38:56Z
dc.descriptionThree-dimensional Yang-Mills theory is investigated in the Hamiltonian formalism based on the Karabali-Nair variable. A new algorithm is developed to obtain the renormalized Hamiltonian by identifying local counterterms in Lagrangian with the use of fictitious holomorphic symmetry existing in the framework with the KN variable. Our algorithm is totally algebraic and enables one to calculate the ground state wave functional recursively in gauge potentials. In particular, the Gaussian part thus calculated is shown to coincide with that obtained by Leigh et al. Higher-order corrections to the Gaussian part are also discussed.
dc.description26 pages, LaTeX; discussions on IR regulators and local counterterms improved, references added
dc.identifierhttps://arxiv.org/abs/0711.4191
dc.identifierhttp://arxiv.org/abs/0711.4191
dc.identifierJHEP0804:095,2008
dc.identifierdoi:10.1088/1126-6708/2008/04/095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199744
dc.subjectHigh Energy Physics - Theory
dc.titleNotes on the Hamiltonian formulation of 3D Yang-Mills theory
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