On a Superfield Theoretical Treatment of the Higgs-Kibble Mechanism
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The superfield theoretical aspect of the Higgs-Kibble mechanism is discussed by realizing the supersymmetry of Becchi, Rouet and Stora (BRS) as translation and dilatation operations on the real elements of the Grassmann algebra. The Slavnov-Taylor identity becomes a statement on each connected Green's function separately in this formulation, and some of the pathological cases discussed in the literature can be avoided by imposing the manifest BRS convariance in terms of the superfields. This is applied to the discussion of non-linear (quadratic) gauge conditions. The manifestly BRS covariant treatment of non-linear gauge conditions requires a quartic self-coupling of Faddeev-Popov fields to ensure the multiplicative renormalization, although the physical S-matrix is independent of this ghost coupling. The proof of unitarity (i.e., the ghost cancellation) follows the same mechanism as the divergence cancellation in the ordinary superfield theory. The gauge independence is proved by a simple classification of operators according to their BRS transformation properties. We also briefly comment on the canonical treatment of superfields.
- 理論物理学刊行会の論文
- 1978-06-25
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