T*-Product Convention for Quasi-Linear Systems and for Transverse Non-Abelian Gauge Fields
T. Okabayashi · Progress of Theoretical Physics · 1979
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.