On the Interaction of Quantum Spinor Fields with Extended Objects

概要

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In past studies of scalar quantum field theory with an extended object it has been shown that the space-time c-numbers (x, t) and the quantum mechanical operators associated with the extended object appear only through a particular combination called the generalized coordinates. In this paper we study the structure of a spinor field interacting with an extended object. It well be shown that the spinor field becomes a product of a kind of spinor operator and a scalar-like field. This spinor operator turns out to be the Lorentz boost operator with the quantum velocity Q^^・=p/H. The scalar-like field describes the quantum particles in reference to a coordinate system which is attache to the extended object. Thus, the behaviour of these quantum particles attached to the extended object does not manifest Lorentz covariance, although the whole theory is relativistically invariant. This knowledge of the structure of the spinor field Ψ is useful when we compute the effects of quantum mechanical fluctuations of extended objects. The results will be generalized to quantum fields of arbitrary spin.
理論物理学刊行会の論文
1983-05-25