Broken scale invariance in scalar field theory

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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.

Original languageEnglish (US)
Pages (from-to)1541-1547
Number of pages7
JournalPhysical Review D
Volume2
Issue number8
DOIs
StatePublished - Jan 1 1970

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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