Transversality of the Rarita-Schwinger self-energy, Ward identities, and dimensional regularization

M. K. Fung, P. Van Nieuwenhuizen, D. R.T. Jones

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The finite one-loop parts of the Rarita-Schwinger self-energy in the gauge αγ•ψ+(1-α)γaδaμψμ satisfy the transversality Ward identity in the new regularization scheme by dimensional reduction but not in conventional dimensional regularization. Diagonalizing and then omitting the nonpropagating Lorentz ghosts, new vertices in the non-Lorentz ghost sectors do contribute. The criteria for deriving Ward identities involving tracelessness of structure constants are shown to be equivalent to the unit Becchi-Rouet-Stora-Tyutin Jacobian provided the gauge algebra closes.

Original languageEnglish
Pages (from-to)2995-3002
Number of pages8
JournalPhysical Review D
Volume22
Issue number12
DOIs
Publication statusPublished - 1980

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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