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  • Access by Xinjiang University

Linear Relations Among Normal-Product Fields

M. Gomes* and J. H. Lowenstein

  • Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15213

  • *Supported by the Fundacao de Amparo a Pesquisa do Estado de Sao Paulo, Sao Paulo, Brazil.

Phys. Rev. D 7, 550 – Published 15 January, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.550

Abstract

General equations of motion are derived for normal-product fields within Zimmermann's formulation of renormalized perturbation theory. The equations of motion and Zimmermann identities relating normal products of different degree are shown to exhaust the linear relations among composite fields. An enlarged class of Ward-identity anomalies is discussed briefly, with specific reference to the breakdown of strict partial conservation of axial-vector current in a nonlinear σ model.

References (7)

  1. W. Zimmermann, Commun. Math. Phys. 11, 1 (1968) ibid.15, 208 (1969) Lectures on Elementary Particles and Quantum Field Theory, edited by S. Deser, M. Grisaru, and H. Pendleton (MIT Press, Cambridge, 1970), Vol. I, p. 397
  2. J. H. Lowenstein, Phys. Rev. D 4, 2281 (1971)
  3. J. H. Lowenstein and B. Schroer, Phys. Rev. D 6, 1553 (1972) A. Rouet and R. Stora, Lett. Nuovo Cimento 4, 136 (1972) ibid.4, 139 (1972) Y. M. P. Lam, Phys. Rev. D 6, 2145 (1972) ibid.6, 2161 (1972) M. Gomes and J. H. Lowenstein, Nucl. Phys. B45, 252 (1972) J. H. Lowenstein, University of Maryland report, 1972 (unpublished)
  4. S. L. Adler, Lectures on Elementary Particles and Quantum Field Theory, [1], p. 1 J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969)
  5. Y. M. P. Lam, [3]
  6. M. Gomes, Ph. D. thesis, University of Pittsburgh, 1972 (unpublished)
  7. M. Gell-Mann and M. Lévy, Nuovo Cimento 10, 705 (1960)

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