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Phys. Rev. D 41, 3192–3196 (1990)

Jackiw-Johnson sum rule for dynamical symmetry breaking

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T. Appelquist and T. Takeuchi*
Center for Theoretical Physics, Department of Physics, Yale University, New Haven, Connecticut 06511

M. B. Einhorn
Department of Physics, University of Michigan, Ann Arbor, Michigan 48109

L. C. R. Wijewardhana
Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221

Received 29 November 1989; published in the issue dated 15 May 1990

We reconsider the Jackiw-Johnson sum rule relating the vector-boson masses (or Goldstone-boson decay constants) to the interactions of the fermions which condense. We show that the counterterm can be simplified to remove all reference to chiral-symmetry breaking, producing a much simpler formula involving no derivatives of the fermion self-energy. This is useful for applications to QCD and technicolor. In the process, we also generalize the sum rule to the breaking of an arbitrary symmetry group, paying particular attention to the requirements of gauge invariance and current conservation.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.3192
DOI:
10.1103/PhysRevD.41.3192
PACS:

*Present address: Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309.

 
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