Conformal coupling and Foldy-Wouthuysen transformation
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
20/04/2003
|
Resumo |
The propagation of a free scalar field phi with mass m in a curved background is generally described by the equation (g(munu) delmudelnu + m(2) + xiR)phi = 0. There exist some arguments in the literature that seem to favor the conformal coupling to the detriment of the minimal one. However, the majority of these claims axe inconclusive. Here we show that the exact Foldy Wouthuysen transformation for spin-0 particle coupled to a wide class of static spacetime metrics exists independently of the value of. Nevertheless, if the coupling is of the conformal type, the gravitational Darwin-like term has an uncomplicated structure and it is proportional to the corresponding term in the fermionic case. In addition, an independent computation of this term, which has its origin in the zitterbewegung fluctuation of the boson's position with the mean square <(deltar)(2)> approximate to 1/m(2), gives a result that coincides with that obtained using the aforementioned exact transformation with xi = 1/6. |
Formato |
867-873 |
Identificador |
http://dx.doi.org/10.1142/S0217732303009745 Modern Physics Letters A. Singapore: World Scientific Publ Co Pte Ltd, v. 18, n. 12, p. 867-873, 2003. 0217-7323 http://hdl.handle.net/11449/23507 10.1142/S0217732303009745 WOS:000182540400007 |
Idioma(s) |
eng |
Publicador |
World Scientific Publ Co Pte Ltd |
Relação |
Modern Physics Letters A |
Direitos |
closedAccess |
Palavras-Chave | #conformal coupling #Foldy-Wouthuysen transformation #curved space |
Tipo |
info:eu-repo/semantics/article |