Broken Scale Invariance in Scalar Field Theory

Curtis G. Callan, Jr.
Phys. Rev. D 2, 1541 – Published 15 October 1970
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Abstract

We use scalar-field perturbation theory as a laboratory to study broken scale invariance. We pay particular attention to scaling laws (Ward identities for the scale current) and find that they have unusual anomalies whose presence might have been guessed from renormalization-group arguments. The scaling laws also appear to provide a relatively simple way of computing the renormalized amplitudes of the theory, which sidesteps the overlapping-divergence problem.

  • Received 4 June 1970

DOI:https://doi.org/10.1103/PhysRevD.2.1541

©1970 American Physical Society

Authors & Affiliations

Curtis G. Callan, Jr.*

  • California Institute of Technology, Pasadena, California 91109 and Institute for Advanced Study, Princeton, New Jersey 08540

  • *Alfred P. Sloan Foundation Fellow.

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Vol. 2, Iss. 8 — 15 October 1970

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