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Formulation of Abelian gauge theories without regulators. II

J. H. Lowenstein* and W. Zimmermann*

M. Weinstein

  • Department of Physics, New York University, New York, New York 10003

  • Stanford Linear Accelerator Center, Stanford, California 94025

  • *Work supported in part by the National Science Foundation under Grants Nos. GU3186, GP36481X, and GP36316X.

Phys. Rev. D 10, 2500 – Published 15 October, 1974

DOI: https://doi.org/10.1103/PhysRevD.10.2500

Abstract

A new method of renormalizing Abelian gauge theories without regulators is developed in this series of papers. In the present part infrared problems are avoided by modifying the Lagrangian such that all masses are nonvanishing. It is shown that conventional renormalization of the classical Lagrangian leads to anomalies of the current. A modified renormalization scheme is proposed and shown to imply the classical form of partial current conservation and the desired Ward identities. Differential vertex operations are studied which will be used in paper III of this series for carrying out the required zero-mass limits.

References (15)

  1. J. H. Lowenstein, M. Weinstein, and W. Zimmermann, Phys. Rev. D 10, 1854 (1974)
  2. J. H. Lowenstein, A. Rouet, R. Stora, and W. Zimmermann, in Renormalization and Invariance in Quantum Field Theory, edited by E. R. Caianiello (Plenum, New York, 1974)
  3. F. Jegerlehner and B. Schroer, Nucl. Phys. B68, 461 (1974)
  4. B. Lee, Nucl. Phys. B9, 649 (1969)
  5. K. Symanzik, Nuovo Cimento Lett. 2, 10 (1969) Commun. Math. Phys. 16, 48 (1970)
  6. C. Becchi, A. Rouet, and R. Stora (unpublished) [2]
  7. O. Piguet, Commun. Math. Phys. 37, 19 (1974)
  8. C. Becchi, Commun. Math. Phys. 33, 97 (1973)
  9. D. Maison [Max-Planck-Institut Report No. PAE-PTh 3, 1974 (unpublished)]
  10. A. Rouet, Nucl. Phys. B68, 605 (1974)
  11. Omitted endnote

  12. B. Lee, Phys. Rev. D 5, 823 (1972)
  13. Omitted endnote

  14. M. Gomes, J. H. Lowenstein, and W. Zimmermann, Commun. Math. Phys. (to be published)
  15. J. H. Lowenstein, Commun. Math. Phys. 24, 1 (1971)

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