Ward identities, the renormalization group and the Callan-Symanzik equation

John C. Collins

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The Ward identity for broken scale invariance in n dimensions is shown to be the equation obtained by dimensional analysis. Renormalizing and taking the limt n → 4 allows extraction of the anomaly at n=4. This is found to give either the renormalization group equation or the Callan-Symanzik equation, depending on the renormalization preseription used. Thus, the identity of the two equations is manifest.

Original languageEnglish (US)
Pages (from-to)47-52
Number of pages6
JournalIl Nuovo Cimento A Series 11
Volume25
Issue number1
DOIs
StatePublished - Jan 1 1975

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dimensional analysis
invariance
anomalies

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Cite this

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Ward identities, the renormalization group and the Callan-Symanzik equation. / Collins, John C.

In: Il Nuovo Cimento A Series 11, Vol. 25, No. 1, 01.01.1975, p. 47-52.

Research output: Contribution to journalArticle

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