多体問題とグリーン関数との関係の研究 : 高等量子力学における摂動理論(16)

概要

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In this paper, next subject is discussed. §37. Modified vertexes At first we consider all possible diagrams equivalent to a single vertex, which is a partial sub-diagram with inner lines of fermions and bosons and which connects to an large external sub-diagram by two fermion lines and one boson line, as in for example [figure] and [figure]. We calculated a representation in time and coordinate variables and a representation in momentum and energy variables of all diagrams equivalent to a single vertex above described. Next we calculated the sum F" of all the modified vertexes. We used a special diagrammatic symbol [figure] to indicate the whole F" of this sum in place of the symbol of [figure] of the usual single vertex. We obtained the result of F"=F(1+S)=FS_<vacuum>. Where F is a vertex part which is free from fluctuations iv vacuum parts. S_<vacuum>=1+S is modified vacuum part which reoresents fluctuations in vacuum which will be descrived in next section.
近畿大学の論文
2005-12-20