Abstract:
The Bogolyubov–Parasyuk–Hepp regularization procedure in Zimmermann's formulation is applied to non-Abelian gauge theories with spontaneously broken symmetry. Ward identities for the Green's function are proved in a general gauge. Gauge invarianee of the elements of the S-matrix of physical particles follows from the Ward identities. The proof that the S-matrix is gauge invariant is considered in detail for a Yang–Mills massless field.
Citation:
M. Z. Iofa, I. V. Tyutin, “Gauge invariance of spontaneously broken non-Abelian theories in the Bogolyubov–Parasyuk–Hepp–Zimmermann method”, TMF, 27:1 (1976), 38–47; Theoret. and Math. Phys., 27:1 (1976), 316–322
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