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Phys. Rev. D 3, 2486–2492 (1971)

Chiral Loops

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Ira S. Gerstein* and Roman Jackiw*
Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Benjamin W. Lee
Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11970

Steven Weinberg
Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 30 October 1970; published in the issue dated 15 May 1971

The correct Feynman rules for chiral-invariant theories differ from the naive rules. The difference is such that the soft-pion theorems, including the vanishing of the pion mass, are preserved to each order of peturbation theory. In particular, there are special definitions of the pion field for which all higher-order corrections to the off-shell pion-pion scattering amplitude cancel at low momenta.

© 1971 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.3.2486
DOI:
10.1103/PhysRevD.3.2486
PACS:

*Alfred P. Sloan Foundation Fellow.

 
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