ガロア第一論文及びその関連の資料スレat MATH
ガロア第一論文及びその関連の資料スレ - 暇つぶし2ch510:132人目の素数さん
23/02/15 18:21:06.22 ix8IQFwl.net
>>465
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URLリンク(web.ihep.su)
F. J. Dyson, Phys. Rev. 75, 486
The Radiation Theories of Tomonaga, Schwinger,and Feynman
F.J. Dyson
Institute for Advanced Study, Princeton, New Jersey
P2
注:3 R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948); Phys. Rev. 74, 939, 1430 (1948); J.
A. Wheeler and R. P. Feynman, Rev. Mod. Phys. 17, 157 (1945). These articles describe
early stages in the development of Feynman’s theory, little of which is yet published.
P19
7 GRAPHICAL REPRESENTATION OF MATRIX ELEMENTS
P25
8 VACUUM POLARIZATION AND CHARGE RENORMALIZATION
<vertex,vertices 抽出(下記”in Section VIII”は、上記のP25 8 のことか。自己言及ですねw)>
P19
Through each point of a graph pass two electron lines, and therefore
the electron lines together form one open polygon containing the vertices
xk and xrk and possibly a number of closed polygons as well.
P21
A “self-energy part” of a graph G is defined as
follows; it is a set of one or more vertices not including x0, together with
the lines joining them, which is connected with the remainder of G (or with
the edge of the diagram) only by two electron lines or by one or two photon
lines.
P23
There remains the case in which λ leads from one vertex x3 to another x4 of G0. In this case C(G0) contains in its integrand the function
P29
All possible graphs G with (n + 1) vertices are now drawnas described in Section VIII omitting disconnected graphs, graphs with self-energy parts, and graphs with external vacuum polarization parts as definedin Section VIII.
It will be found that in each graph there are at each vertex two electron lines and one photon line, with the exception of x0 at which there are two electron lines only; further, such graphs can exist only for even n. Kn is the sum of a contribution K(G) from each G.
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