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On the Decomposition Theorem for Gluons

Авторы: Anikin I.V., Zhevlakov A.S.

Журнал: Journal of Experimental and Theoretical Physics

Том: 135

Номер: 1

Год: 2022

Отчётный год: 2022

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Местоположение издательства:

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Аналитические и численные методы математической физики в задачах томографии, квантовой теории поля и механике жидкости и газа

DOI: 10.1134/S1063776122070081

Аннотация: Recently, the problem of spin and orbital angular momentum (AM) separation has widely been discussed. Nowadays, all discussions about the possibility to separate the spin AM from the orbital AM in the gauge invariant manner are based on the ansatz that the gluon field can be presented in form of the decomposition where the physical gluon components are additive to the pure gauge gluon components, i.e. Aμ = (Formula presented.). In the present paper, we show that in the non-Abelian gauge theory this gluon decomposition has a strong mathematical evidence in the frame of the contour gauge conception. In other words, we reformulate the gluon decomposition ansatz as a theorem on decomposition and, then, we use the contour gauge to prove this theorem. In the first time, we also demonstrate that the contour gauge possesses the special kind of residual gauge related to the boundary field configurations and expressed in terms of the pure gauge fields. As a result, the trivial boundary conditions lead to the inference that the decomposition includes the physical gluon configurations only provided by the contour gauge condition.

Индексируется WOS: Q3

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет

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