: This is an account of the author’s recollections of the turbulent days preceding the establishment of the Standard Model as an accurate description of all known elementary particles and forces.

We show that the Englert–Broute–Higgs–Kibble model is renormalizable and unitary.

Particle Physics at the Year of Light, pp. 435-442 (2017) No Access60 YEARS TO NONABELIAN GAUGE FIELDSA.A. SlavnovA.A. SlavnovSteklov Mathematical Institute and Moscow State University, Moscow, Russiahttps://doi.org/10.1142/9789813224568_0072Cited by:1 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: The development of nonabelian gauge fields for last 60 years is reviewed. The new method of quantization of gauge fields applicable beyond perturbation theory is proposed. FiguresReferencesRelatedDetailsCited By 1Hamiltonian Operators with Zero-Divergence ConstraintsV. V. Zharinov6 August 2019 | Theoretical and Mathematical Physics, Vol. 200, No. 1 Particle Physics at the Year of LightMetrics History PDF download

We propose a renormalizable theory of massive non-Abelian gauge fields that does not require the existence of observable scalar fields.

Памяти Дмитрия Васильевича Ширкова, Белокуров В.В., Воронов В.В., Казаков Д.И., Матвеев В.А., Мешков И.Н., Оганесян Ю.Ц., Рубаков В.А., Скринский А.Н., Славнов А.А., Трубников Г.В., Трутнев Ю.А., Фортов В.Е.

We propose a new method for uniquely quantizing models of massive non-Abelian gauge fields with spontaneously broken symmetry applicable outside the framework of a perturbation theory in the coupling constant.

The development of nonabelian gauge fields for last 60 years is reviewed. The new method of quantization of gauge fields applicable beyond perturbation theory is proposed.

We review papers on a new method for quantizing the Yang-Mills field applicable both in perturbation theory and beyond it. We show that in the modified formulation of the Yang-Mills theory leading to a formal perturbation theory that coincides with the standard one, there exist soliton solutions of the classical equations of motion.

We show that soliton solutions of classical field equations exist in the modified formulation of the Yang–Mills theory, which produces the same formal perturbation theory as the standard formulation.

Памяти Анатолия Алексеевича Логунова, Герштейн С.С., Денисов С.П., Зайцев А.М., Иванов С.В., Матвеев В.А., Мествиришвили М.А., Петров В.А., Рубаков В.А., Садовничий В.А., Славнов А.А., Скринский А.Н., Трутнев Ю.А., Тюрин Н.Е.

A quantization procedure of non-Abelian gauge theories is considered. It is shown that the standard quantization procedure is applicable only within perturbation theory with respect to the coupling constant. A new quantization method is proposed that can be applied both within and outside perturbation theory.

A new formulation of nonabelian gauge theories, introducing new ghost fields and new symmetry is proposed. This formulation does not suffer from Gribov ambiguity and allows to quantize nonabelian gauge fields beyond perturbation theory.

It is shown that pure Yang-Mills theory in the modified formulation admits soliton solutions of classical field equations.

We propose a new procedure for quantizing gauge fields that allows avoiding Gribov ambiguities and is therefore applicable outside the perturbation theory framework. We use this procedure to construct a gauge-invariant infrared regularization of the Yang-Mills theory.

We construct a gauge-invariant infrared regularization of the Yang-Mills theory applicable beyond the perturbation theory.