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Prog. Theor. Phys. Vol. 44 No. 3 (1970) pp. 783-795

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Dual of the Non-Planar Tetrahedron Graph

Masatsugu Minami and Hideo Miyata*

RIMS, Kyoto University, Kyoto
*Department of Physics, Kyoto University, Kyoto

(Received April 30, 1970)

Abstract:

The notion of duality of linear graphs is extended in connection with the reciprocity between analytic properties of the position-space functions and those of the momentum-space ones. A proposition concerning the analyticity associated with the torus graphs is proved.


URL : http://ptp.ipap.jp/link?PTP/44/783/
DOI : 10.1143/PTP.44.783

[ Full Text PDF : FREE ACCESS (751K) ] Citation:


References:

  1. M. Minami and N. Nakanishi, Prog. Theor. Phys. 40 (1968), 167[PTP].
  2. M. Minami, Prog. Theor. Phys. 40 (1968), 864[PTP].
  3. M. Minami, Prog. Theor. Phys. 41 (1969), 527[PTP].
  4. N. Nakanishi, Prog. Theor. Phys. 42 (1969), 966[PTP].
    Refer also to: N. Nakanishi, Graph Theory and Feynman Integrals, to appear from Gordon and Breach, Inc., N. Y.
  5. H. Whitney, Trans. Amer. Math. Soc. 34 (1932), 339.
  6. C. Kuratowski, Fund. Math. 15 (1930), 271.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 208-226 :
    The Landau Equations for a Continuous Medium and the Koba-Nielsen Kernels in the Generalized Veneziano Formula
    Masatsugu Minami
  2. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1618-1633 :
    Quantized Fields Associated with the Annulus-Type Medium
    Masatsugu Minami and Hiroshi Sughimoto
  3. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 614-633 :
    Dual-Resonance Amplitude as a Generalization of Feynman's Propagator
    Masatsugu Minami