Nonperturbative many-body techniques applied to a Yang-Mills field theory.
Nonperturbative many-body techniques applied to a Yang-Mills field theory.
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适用于杨-米尔斯场论的非微扰多体技术。
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
Schuette
中科院分区：
文献类型：
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作者：
Schuette
从库仑规范中的 SU(n) Yang-Mills 理论导出的场论哈密顿量的截止版本开始，我们研究了基态（=物理真空）的 Bogoliubov 近似中新兴的多体问题的结构，并考虑了胶球态的合适准粒子激发。形成袋子的想法可以纳入该方案中。能量期望值通过簇扩展来近似。提出了（正式）结果，允许在稍后阶段对胶球谱进行数值计算，并讨论了新兴的结构。特此特别关注格里波夫模糊性的重要性以及格里波夫视界处哈密顿量奇点的后果。建议研究胶子之间电势上升的可能性，因为这种电势可能是限制的信号。
Starting from the cutoff version of a field-theoretical Hamiltonian derived from an SU(n) Yang-Mills theory in the Coulomb gauge, we investigate the structure of the emerging many-body problem within a Bogoliubov approximation for the ground state ( = physical vacuum) and by considering suitable quasiparticle excitations for glueball states. The idea of the formation of a bag can be incorporated into this scheme. The energy expectation values are approximated by a cluster expansion. The (formal) results, allowing the numerical computation of the glueball spectrum at a later stage, are presented and the emerging structure is discussed. Special attention is hereby paid to the significance of the Gribov ambiguity and to the consequences of the singularity of the Hamiltonian at the Gribov horizon. It is suggested that the possibility of a rising potential between gluons be investigated, as such a potential could be a signal of confinement.