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Prog. Theor. Phys. Vol. 40 No. 4 (1968) pp. 864-892

[ Full Text PDF : FREE ACCESS (1566K) ]

Position-Space Analytic Functions Dual to the Feynman Integrals and Their Mass-Superpositions

Masatsugu Minami

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received May 28, 1968)

Abstract:

We introduce a perturbational integral in position space which is dual to the Feynman integral in momentum space, and then study the analytic properties of a superposition of our integral with respect to the variables corresponding to the masses squared. The superposed function is presumed to be a working representation of the Wightman function satisfying the local comutativity condition.


URL : http://ptp.ipap.jp/link?PTP/40/864/
DOI : 10.1143/PTP.40.864

[ Full Text PDF : FREE ACCESS (1566K) ] Citation:

References:

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  2. M. Minami and N. Nakanishi, Prog. Theor. Phys. 40 (1968), 167[PTP].
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  5. N. Nakanishi, Graph Theory and Feynman Integrals, to appear as a book.
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  24. M. Minami and H. Miyata, to be published in Prog. Theor. Phys.
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 252-263 :
    Connection between the Absorptive Part of the Scattering Amplitude and That of the Feynman Integral Associated with the Tetrahedron Graph
    Masatsugu Minami and Hideo Miyata
  2. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 527-541 :
    Representation of the Wightman Function in Terms of Two-Point Singular Functions
    Masatsugu Minami
  3. Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 82-107 :
    Vertex Functions at Large Momentum Transfer. I
    Masatsugu Minami
  4. Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 108-115 :
    On the Proposition Given by T. T. Wu concerning the Exponential Decrease of the High-Energy Large-Angle Differential Cross Section
    Masatsugu Minami, Hideo Miyata and Haruichi Yabuki
  5. Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 698-706 :
    Vertex Functions at Large Momentum Transfer. II
    Masatsugu Minami
  6. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 941-958 :
    Vertex Functions at Large Momentum Transfer. III
    Masatsugu Minami
  7. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 966-977 :
    Feynman-Parametric Formula for the Hankel-Transformed Position-Space Feynman Integral
    Noboru Nakanishi
  8. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 783-795 :
    Dual of the Non-Planar Tetrahedron Graph
    Masatsugu Minami and Hideo Miyata
  9. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 614-633 :
    Dual-Resonance Amplitude as a Generalization of Feynman's Propagator
    Masatsugu Minami

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