Complex poles and spectral function of Yang-Mills theory
Complex poles and spectral function of Yang-Mills theory
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杨-米尔斯理论的复极点和谱函数
DOI：
10.1103/physrevd.99.074001
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Y. Hayashi and K.-I. Kondo
中科院分区：
文献类型：
--
作者：
K.-I. Kondo;M. Watanabe;Y. Hayashi;R. Matsudo;and Y. Suda;Y. Hayashi and K.-I. Kondo
在传播子渐近行为的一些假设下，我们导出了传播子复极点个数与Minkowski区域中分支割的谱函数符号之间的一般关系.我们把这个关系应用到具有单圈量子修正的质量形变Yang-Mills模型中，证明了该模型中的胶子传播子具有一对多重数为2的复共轭极或“快子”极，这与胶子场具有负谱函数的事实相一致，而虚传播器最多具有一个“非物理”极点。最后，我们讨论了这些结果的胶子禁闭和其他非微扰方面的杨米尔斯理论的影响。
We derive general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the propagator. We apply this relation to the mass-deformed Yang-Mills model with one-loop quantum corrections, which is identified with a low-energy effective theory of the Yang-Mills theory, to show that the gluon propagator in this model has a pair of complex conjugate poles or “tachyonic” poles of multiplicity two, in accordance with the fact that the gluon field has a negative spectral function, while the ghost propagator has at most one “unphysical” pole. Finally, we discuss implications of these results for gluon confinement and other nonperturbative aspects of the Yang-Mills theory.