---

Prog. Theor. Phys. Vol. 44 No. 6 (1970) pp. 1684-1697

Gauge Condition in Helicity Formalism

Takeshi Ebata, Tomoya Akiba^* and Kenneth E. Lassila^**

Physics Department, College of General Education, Tohoku University, Sendai
^*Physics Department, Tohoku University, Sendai
^**Institute for Atomic Research and Department of Physics, Iowa State University, Ames, Iowa, U.S.A.

(Received July 20, 1970)

Abstract:

Through the example of boson Compton scattering, the gauge invariance requirement is formulated in the helicity formalism. The formalism assumes that the longitudinal helicity amplitudes vanish as powers of photon invariant “mass”, and the virtual Compton scattering can be treated in a unified way with the real one. The formalism is used to discuss the problem of Born terms, Regge pole theory and other related topics. Since the formalism exploit only the knowledge of crossing matrix, it should be applicable to more complicated reactions.

URL : http://ptp.ipap.jp/link?PTP/44/1684/
DOI : 10.1143/PTP.44.1684

[ Full Text PDF : FREE ACCESS (1043K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. Ling-Lie Chaw Wang, Phys. Rev. 142 (1966), 1187[APS].
2. D. Horn, California Institute of Technology Report/CTSL Internal Report 34 (1967), unpublished.
3. G. Zweig, Nuovo Cim. 32 (1964), 689.
4. S. C. Frautchi and L. Jones, Phys. Rev. 163 (1967), 1820[APS].
5. T. Ebata and K. E. Lassila, Phys. Rev. Lett. 21 (1968), 250[APS]; Phys. Rev. 183 (1969), 1425[APS].
   As to the “simple example” presented in the “Letter”, see reference 7).
6. T. Ebata and K. E. Lassila, Lett. Nuovo Cim. 2 (1969), 284; Phys. Rev. 185 (1969), 1717[APS].
7. T. Ebata, Prog. Theor. Phys. 43 (1970), 109[PTP].
8. A. C. Hearn and E. Leader, Phys. Rev. 126 (1962), 789[APS].
   H. Pagels, Phys. Rev. 158 (1967), 1566[APS].
9. H. D. Abarbanel and M. L. Goldberger, Phys. Rev. 165 (1968), 1594[APS].
10. T. L. Trueman and G. C. Wick, Ann. of Phys. 26 (1964), 322[CrossRef].
11. For example, G. E. Hite, Rev. Mod. Phys. 41 (1969), 669[APS].
12. Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 38 (1967), 1152[PTP].
13. For example, A. Dar, V. F. Weisskopf, C. A. Levinson and H. J. Lipkin, Phys. Rev. Lett. 20 (1968), 1261[APS].
14. P. D. B. Collins and F. D. Gault, University of Durham preprint (1970).
15. For example, B. W. Lee and H. T. Nieh, Phys. Rev. 166 (1967), 1507[APS].
    That the coupling is consistent with chiral dynamics is also shown in detail by
    T. Ohta and T. Ebata, Prog. Theor. Phys. 42 (1969), 1372[PTP].
16. H. F. Jones, M. D. Scadron and F. D. Gault, Nuovo Cim. A 66 (1970), 424.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1496-1502 :

   J = 0 Singularity in Forward Virtual Compton Amplitude

   Mitsuru Sakuraoka

2. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1288-1301 :

   Gauge Invariant Pion Regge Pole

   Koichi Takahashi and Takeshi Ebata

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.