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Phys. Rev. D 2, 1541–1547 (1970)

Broken Scale Invariance in Scalar Field Theory

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Curtis G. Callan, Jr.*
California Institute of Technology, Pasadena, California 91109 and Institute for Advanced Study, Princeton, New Jersey 08540

Received 4 June 1970; published in the issue dated 15 October 1970

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.

© 1970 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.2.1541
DOI:
10.1103/PhysRevD.2.1541
PACS:

*Alfred P. Sloan Foundation Fellow.

See Also

Comment: A. Sirlin, Mass Divergences and Callan-Symanzik Equations in Quantum Electrodynamics, Phys. Rev. D 5, 2132 (1972).