TY - JOUR
T1 - Transversality of the Rarita-Schwinger self-energy, Ward identities, and dimensional regularization
AU - Fung, M. K.
AU - Van Nieuwenhuizen, P.
AU - Jones, D. R.T.
PY - 1980
Y1 - 1980
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.22.2995
DO - 10.1103/PhysRevD.22.2995
M3 - Article
AN - SCOPUS:0000183499
VL - 22
SP - 2995
EP - 3002
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 12
ER -