Gauge invariance of spontaneously broken non-Abelian theories in the Bogolyubov--Parasyuk--Hepp--Zimmermann method
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 38-47
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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.
@article{TMF_1976_27_1_a3,
author = {M. Z. Iofa and I. V. Tyutin},
title = {Gauge invariance of spontaneously broken {non-Abelian} theories in the {Bogolyubov--Parasyuk--Hepp--Zimmermann} method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {38--47},
publisher = {mathdoc},
volume = {27},
number = {1},
year = {1976},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a3/}
}
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M. Z. Iofa; I. V. Tyutin. Gauge invariance of spontaneously broken non-Abelian theories in the Bogolyubov--Parasyuk--Hepp--Zimmermann method. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 38-47. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a3/