---

Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 627-640

Ward Identity of Dilatation Current in Conformal-Invariant Quantum Electrodynamics

Yoshimi Matsubara

Department of Physics, Nagoya University, Nagoya 464

(Received April 29, 1979)

Abstract:

The Ward identity of the dilatation current in conformal-invariant quantum electrodynamics is investigated by using nonpolynomial Lagrangian techniques. It is shown that the identity is trivial up to logarithmic terms in the minor coupling constant although the free Lagrangian is not dilatation-invariant. What is called anomalous dimensions of Callan-Symanzik equation have no relation to anomalous scale dimensions introduced by point transformations of the fields. The renormalized Ward identity is independent of both anomalies.

URL : http://ptp.ipap.jp/link?PTP/63/627/
DOI : 10.1143/PTP.63.627

[ Full Text PDF : FREE ACCESS (843K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. A. Salam and J. Strathdee, Phys. Rev. 184 (1969), 1750[APS]; ibid. 184 (1969), 1760[APS]; Phys. Rev. D 1 (1970), 3296[APS].
   R. Delbourgo, A. Salam and J. Strathdee, Phys. Rev. 187 (1969), 1999[APS].
   For a review and references see, A. Salam, Nonpolynomial Lagrangians, Renormalization and Gravity, 1971 Coral Gables Conference on Fundamental Interactions at High Energy, vol. 1 (Gordon and Breach, New York, 1971).
2. C. J. Isham, A. Salam and J. Strathdee, Phys. Lett. B 31 (1970), 300[CrossRef].
   J. Ellis, Nucl. Phys. B 22 (1970), 478[CrossRef].
3. C. J. Isham, A. Salam and J. Strathdee, Phys. Rev. D 3 (1971), 1805[APS]; ibid. 5 (1972), 2548[APS].
4. A. Jaffe, Phys. Rev. 158 (1967), 1454[APS].
5. S. Okubo, Prog. Theor. Phys. 11 (1954), 80[PTP].
   M. Volkov, Ann. of Phys. 49 (1968), 202[CrossRef].
   H. Lehmann and K. Pohlmeyer, Commun. Math. Phys. 20 (1971), 101[CrossRef].
6. T. Dass and R. Shyam, Phys. Rev. D 15 (1977), 1580[APS].
7. C. G. Callan, Jr., Phys. Rev. D 2 (1970), 1541[APS].
   K. Symanzik, Commun. Math. Phys. 18 (1970), 227[CrossRef].
8. C. G. Callan, Jr., S. Coleman and R. Jackiw, Ann. of Phys. 59 (1970), 42[CrossRef].
   S. Coleman and R. Jackiw, Ann. of Phys. 67 (1971), 552[CrossRef].
9. I. M. Gelfand and G. E. Shilov, Generalized Functions (Academic, New York, 1964), vol. I.
10. H. Umezawa, Nuovo Cim. A 40 (1965), 459.
    K. Nakagawa, R. N. Sen and H. Umezawa, Nuovo Cim. 42 (1966), 565.
    L. Leplae, R. N. Sen and H. Umezawa, Prog. Theor. Phys. Suppl. Extra Number (1965), 637[PTP].
    H. Matsumoto, H. Umezawa, G. Vitiello and J. K. Wyly, Phys. Rev. D 9 (1974), 2806[APS].
    

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 1016-1023 :

   Tadpole Diagram in a Conformal-Invariant Massive Scalar Φ⁴ Theory

   Yoshimi Matsubara

2. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1800-1813 :

   Spontaneous Mass Generation in Conformal-Invariant Φ⁴ Theory

   Yoshimi Matsubara

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.