Star products made (somewhat) easier
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2008
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Resumo |
We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which is based on Weyl symmetrically ordered operator products. By using a polydifferential representation for the deformed coordinates, xj we are able to formulate a simple and effective iterative procedure which allowed us to calculate the fourth-order star product (and may be extended to the fifth order at the expense of tedious but otherwise straightforward calculations). Modulo some cohomology issues which we do not consider here, the method gives an explicit and physics-friendly description of the star products. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq |
Identificador |
EUROPEAN PHYSICAL JOURNAL C, v.58, n.4, p.627-637, 2008 1434-6044 http://producao.usp.br/handle/BDPI/29590 10.1140/epjc/s10052-008-0804-2 |
Idioma(s) |
eng |
Publicador |
SPRINGER |
Relação |
European Physical Journal C |
Direitos |
restrictedAccess Copyright SPRINGER |
Palavras-Chave | #PATH-INTEGRAL QUANTIZATION #DEFORMATION QUANTIZATION #LIE-ALGEBRA #QUANTUM-MECHANICS #PHASE-SPACE #FIELD-THEORY #WEYL #MANIFOLDS #SHIFT #CONSTRUCTION #Physics, Particles & Fields |
Tipo |
article original article publishedVersion |