Inherent color symmetry in quantum Yang-Mills theory

doi:10.1016/j.physletb.2023.137804

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	Inherent color symmetry in quantum Yang-Mills theory
	Pak, Dmitriy G.; Cai, Rong-Gen ; Tsukioka, Takuya 1; Zhang, Pengming 3; Zhou, Yu-Feng
刊名	PHYSICS LETTERS B
	2023
卷号	839 页码:137804
关键词	VACUUM POLARIZATION QCD VACUUM CONFINEMENT TOPOLOGY
ISSN号	0370-2693
DOI	10.1016/j.physletb.2023.137804
英文摘要	We present the basic non-perturbative structure of the space of classical dynamical solutions and corresponding one particle quantum states in SU (3) Yang-Mills theory. It has been demonstrated that the Weyl group of su(3) algebra plays an important role in constructing non-perturbative solutions and leads to profound changes in the structure of the classical and quantum Yang-Mills theory. We show that the Weyl group as a non-trivial color subgroup of SU (3) admits singlet irreducible representations on a space of classical dynamical solutions which lead to strict concepts of one particle quantum states for gluons and quarks. The Yang-Mills theory is a non-linear theory and, in general, it is not possible to construct a Hilbert space of classical solutions and quantum states as a linear vector space, so, usually, a perturbative approach is applied. We propose a non-perturbative approach based on Weyl symmetric solutions to full non-linear equations of motion and construct a full space of dynamical solutions representing an infinite but countable solution space classified by a finite set of integer numbers. It has been proved that the Weyl singlet structure of classical solutions provides the existence of a stable non-degenerate vacuum which serves as a main precondition of the color confinement phenomenon. Some physical implications in quantum chromodynamics are considered.(c) 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/28005]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 2.Bukkyo Univ, Sch Educ, Kyoto 6038301, Japan 3.Pak, Dmitriy G.] Uzbek Acad Sci, Phys Tech Inst, Tashkent 100084, Uzbekistan 4.Sun Yat sen Univ, Sch Phys & Astron, Zhuhai 519000, Peoples R China
推荐引用方式 GB/T 7714	Pak, Dmitriy G.,Cai, Rong-Gen,Tsukioka, Takuya,et al. Inherent color symmetry in quantum Yang-Mills theory[J]. PHYSICS LETTERS B,2023,839:137804.
APA	Pak, Dmitriy G.,Cai, Rong-Gen,Tsukioka, Takuya,Zhang, Pengming,&Zhou, Yu-Feng.(2023).Inherent color symmetry in quantum Yang-Mills theory.PHYSICS LETTERS B,839,137804.
MLA	Pak, Dmitriy G.,et al."Inherent color symmetry in quantum Yang-Mills theory".PHYSICS LETTERS B 839(2023):137804.