Conformal coupling and Foldy-Wouthuysen transformation
Nenhuma Miniatura disponível
Data
2003-04-20
Autores
Accioly, A.
Blas, H.
Título da Revista
ISSN da Revista
Título de Volume
Editor
World Scientific Publ Co Pte Ltd
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.
Descrição
Palavras-chave
conformal coupling, Foldy-Wouthuysen transformation, curved space
Como citar
Modern Physics Letters A. Singapore: World Scientific Publ Co Pte Ltd, v. 18, n. 12, p. 867-873, 2003.