Phys. Rev. D 3, 2486 (1971) - Chiral Loops

Chiral Loops

Ira S. Gerstein, Roman Jackiw, Benjamin W. Lee, and Steven Weinberg

Phys. Rev. D 3, 2486 – Published 15 May 1971

Abstract

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.

Received 30 October 1970

DOI:https://doi.org/10.1103/PhysRevD.3.2486

©1971 American Physical Society

Authors & Affiliations

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

^*Alfred P. Sloan Foundation Fellow.

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Vol. 3, Iss. 10 — 15 May 1971

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