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Prog. Theor. Phys. Vol. 41 No. 2 (1969) pp. 527-541

[ Full Text PDF : FREE ACCESS (826K) ]

Representation of the Wightman Function in Terms of Two-Point Singular Functions

Masatsugu Minami

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received August 16, 1968)

Abstract:

The n-point vacuum expectation value is written as the “mass”-superposition of the integral whose integrand is the product of the two-point Δ+ and Δ(1) functions. In the three-point case, it is compared with the graph-theoretical representation previously introduced. For n ≥4, the new representation has no relation consistent with the graph in position space, but it is found that the so-called DANAD-surface can be derived in quite a graph-theoretical manner.


URL : http://ptp.ipap.jp/link?PTP/41/527/
DOI : 10.1143/PTP.41.527

[ Full Text PDF : FREE ACCESS (826K) ] Citation:

References:

  1. M. Minami, Prog. Theor. Phys. 40 (1968), 864[PTP].
  2. B. E. Y. Svensson, Nucl. Phys. 39 (1962), 198[CrossRef].
  3. P. Arrhén, Nucl. Phys. 81 (1966), 557[Elsevier].
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  6. A. C. T. Wu, Phys. Rev. 135 (1964), B230[APS].
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  9. R. Jost, in Lectures on Field Theory and the Many-Body Problem, edited by E. R. Caianiello (Academic Press, N. Y., 1961).
  10. G. Källén, Nucl. Phys. 25 (1961), 568[CrossRef].
  11. N. Nakanishi, Graph Theory and Feynman Integrals, to be published from W. A. Benjamin Inc., N. Y.
  12. N. Nakanishi, Prog. Theor. Phys. 39 (1968), 768[PTP].
  13. A. C. T. Wu, Phys. Rev. 135 (1964), B222[APS].
  14. B. Andersson, Nucl. Phys. 74 (1965), 601[CrossRef].
  15. N. H. Möller, Nucl. Phys. 35 (1962), 434[CrossRef].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 82-107 :
    Vertex Functions at Large Momentum Transfer. I
    Masatsugu Minami
  2. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 941-958 :
    Vertex Functions at Large Momentum Transfer. III
    Masatsugu Minami
  3. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 783-795 :
    Dual of the Non-Planar Tetrahedron Graph
    Masatsugu Minami and Hideo Miyata

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