---

Prog. Theor. Phys. 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

Department of Physics, Hokkaido University, Sapporo

(Received May 5, 1972)

Abstract:

We present Feynman-like rules for the dual-resonance model, whose counting rule is the same as in the conventional field theory. Our approach is based on the Nakanishi decomposition of the n-point Veneziano formula. This decomposition is extended to general loop amplitudes. One advantage of this scheme is that the periodicity problem for the loop amplitudes is automatically removed, at least at the one-loop level.

URL : http://ptp.ipap.jp/link?PTP/48/2044/
DOI : 10.1143/PTP.48.2044

[ Full Text PDF : FREE ACCESS (1517K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. K. Kikkawa, B. Sakita and M. A. Virasoro, Phys. Rev. 184 (1969), 1701[APS].
   K. Kikkawa, S. A. Klein, B. Sakita and M. A. Virasoro, Phys. Rev. D 1 (1970), 3258[APS].
   For recent developments, see e.g.
   V. Alessandrini and D. Amati, Nuovo Cim. A 4 (1971), 793.
2. N. Nakanishi, Prog. Theor. Phys. 45 (1971), 436[PTP]; ibid. 45 (1971), 451[PTP]; ibid. 45 (1971), 919[PTP].
3. J. Scherk, Nucl. Phys. B 31 (1971), 222[CrossRef].
4. T. Yoneya, Prog. Theor. Phys. 46 (1971), 1192[PTP].
5. S. Fubini and G. Veneziano, Nuovo Cim. A 67 (1970), 29.
   L. Clavelli and P. Ramond, Phys. Rev. D 2 (1970), 973[APS].
6. D. I. Olive, Nuovo Cim. A 3 (1971), 399.
7. Z. Koba, Nucl. Phys. B 18 (1970), 253[CrossRef].
8. D. J. Gross, A. Neveu, J. Scherk and J. H. Schwarz, Phys. Rev. D 2 (1970), 697[APS].
9. M. Kaku and C. B. Thorn, Phys. Rev. D 1 (1970), 2860[APS].
10. M. Ida, H. Matsumoto and S. Yazaki, Prog. Theor. Phys. 44 (1970), 456[PTP].
11. A. Neveu and J. Scherk, Phys. Rev. D 1 (1970), 1693[APS].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1907-1920 :

   Connection of Dual Models to Electrodynamics and Gravidynamics

   Tamiaki Yoneya

2. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1355-1368 :

   Gauge Freedom in Dual Feynman-Like Rules and Its Relation to the Massless Yang-Mills Field Theory

   Tamiaki Yoneya

3. Progress of Theoretical Physics Vol. 103 No. 6 (2000) pp. 1081-1125 :

   String Theory and the Space-Time Uncertainty Principle

   Tamiaki Yoneya

4. Progress of Theoretical Physics Supplement No.188 (2011) pp. 63-74 :

   Towards Quantum Field Theory of D-Particles

   Tamiaki Yoneya

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.