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Prog. Theor. Phys. Vol. 62 No. 1 (1979) pp. 201-213

T^*-Product Convention for Quasi-Linear Systems and for Transverse Non-Abelian Gauge Fields

Takao Okabayashi

Department of Physics, University of Tokyo, Tokyo 113

(Received February 10, 1979)

Abstract:

Transverse non-abelian gauge fields have properties characteristic of quasi-linear fields of the first class. Then order of operators is important at any stage. A rule for such fields to translate T-products into T^*-products, where of operators is severely taken into account, is proposed. The rule gives a generalization of Matthews' theorem and a refinement of diagrammatical method devised by Lee and Yang. Our results show that effective hamiltonian in the T^*-product convention involves terms which are absent in the naive Feynman-Dyson rules, and that introduction of the ghost term is not enough.

URL : http://ptp.ipap.jp/link?PTP/62/201/
DOI : 10.1143/PTP.62.201

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