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Prog. Theor. Phys. Vol. 49 No. 2 (1973) pp. 640-651

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Indefinite-Metric Quantum Theory of Genuine and Higgs-Type Massive Vector Fields

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received August 25, 1972)

Abstract:

On the basis of the indefinite-metric vector field theory proposed previously, Johnson's proposition that the physical mass of a vector field tends to zero as its bare mass goes to zero, is shown to be valid if the vector field couples with a charged scalar field in the minimal interaction. In the case of the theory of spontaneously broken gauge invariance, the reason why the vector field acquires a non-zero mass in spite of the above theorem is clarified. The theory of a vector field which is massive owing to the spontaneous breakdown of gauge invariance is consistently formulated in the framework of the indefinite-metric quantum field theory. In this formalism, both renormalizability and the unitarity of the physical S-matrix are self-evident.


URL : http://ptp.ipap.jp/link?PTP/49/640/
DOI : 10.1143/PTP.49.640

[ Full Text PDF : FREE ACCESS (779K) ] Citation:

References:

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