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Prog. Theor. Phys. Vol. 45 No. 2 (1971) pp. 436-450

[ Full Text PDF : FREE ACCESS (692K) ]

Crossing-Symmetric Decomposition of the Five-Point and Six-Point Veneziano Formulas into Tree-Graph Integrals

Noboru Nakanishi

Applied Mathematics Department, Brookhaven National Laboratory, Upton, Long Island, New York 11973

(Received August 24, 1970)

Abstract:

It is shown that the five-point Veneziano formula can be written as a sum of five integrals, each of which has only the singularities which can be existent in the Feynman amplitudes corresponding to a particular tree Feynman graph, in such a way that those integrals are transmuted into each other by cyclic permutations of external particles. Likewise, the six-point Veneziano formula is decomposed into fourteen tree-graph integrals in a crossing-symmetric way.
On the basis of the above results, a natural extension of the generalized Veneziano formula to the general-spin case is proposed.


URL : http://ptp.ipap.jp/link?PTP/45/436/
DOI : 10.1143/PTP.45.436

[ Full Text PDF : FREE ACCESS (692K) ] Citation:

References:

  1. N. Nakanishi, Phys. Rev. D 2 (1970), 288[APS].
  2. K. Bardakçi and H. Ruegg, Phys. Lett. B 28 (1968), 342[CrossRef].
    M. A. Virasoro, Phys. Rev. Lett. 22 (1969), 37[APS].
  3. Chan, H.-M. Phys. Lett. B 28 (1969), 425[CrossRef].
    Chan, H.-M. and Tsou, S. T., Phys. Lett. B 28 (1969), 485[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 451-470 :
    Crossing-Symmetric Decomposition of the n-Point Veneziano Formula into Tree-Graph Integrals. I
    Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 355-356 :
    Remarks on Scherk's Paper Entitled “Zero-Slope Limit of the Dual Resonance Model”
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2044-2065 :
    Feynman-like Rules for the Dual-Resonance Model on the Basis of the Nakanishi Decomposition
    Tamiaki Yoneya
  4. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1907-1920 :
    Connection of Dual Models to Electrodynamics and Gravidynamics
    Tamiaki Yoneya
  5. Progress of Theoretical Physics Vol. 103 No. 6 (2000) pp. 1081-1125 :
    String Theory and the Space-Time Uncertainty Principle
    Tamiaki Yoneya

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