论文标题

Gluon繁殖器的分析延续和物理内容

Analytic continuation and physical content of the gluon propagator

论文作者

Siringo, Fabio, Comitini, Giorgio

论文摘要

根据最近关于复杂共轭杆的可能存在的发现,对Gluon传播器的分析延续进行了修订。当灯芯旋转时,必须添加异常极的贡献,从而导致有效的Minkowskian繁殖器,这不是欧几里得功能的琐碎分析延续给出的。有效的传播器在光谱函数方面具有不可或缺的表示,该函数与哈密顿式的一组基本(复杂)特征值自然相关,从而概括了通常的Källen-Lehmann描述。一个简单的玩具模型显示了基本特征值如何与非扰动真空的实际物理准颗粒有关。

The analytic continuation of the gluon propagator is revised in the light of recent findings on the possible existence of complex conjugated poles. The contribution of the anomalous pole must be added when Wick rotating, leading to an effective Minkowskian propagator which is not given by the trivial analytic continuation of the Euclidean function. The effective propagator has an integral representation in terms of a spectral function which is naturally related to a set of elementary (complex) eigenvalues of the Hamiltonian, thus generalizing the usual Källen-Lehmann description. A simple toy model shows how the elementary eigenvalues might be related to actual physical quasiparticles of the non-perturbative vacuum.

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