Green's Function of Bilocal Field Equations

概要

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The Green's function of bilocal field equations is investigated; it is decomposed into partial waves of the little group (SO(3), SO(2, 1) for the time-like and space-like four momentum). Assuming that the partial wave Green's function can be analytically continued into the l-plane, we pay special attention on the role of the Regge pole term. It is found that this term is a homogeneous solution of the field equation and that its existence in the Green's function is required for the space-like part of the Green's function to be connected with the time-like part by analytic continuation. Some model field equations are discussed as examples. A few comments are made on the quantization of the bilocal field and on the vertex among the bilocal fields.
理論物理学刊行会の論文
1968-04-25