论文标题
夸克化学势对Gluon繁殖器的分析结构的影响
Effects of a quark chemical potential on the analytic structure of the gluon propagator
论文作者
论文摘要
我们使用具有有效模型的landau-gauge Yang-Mills理论的有效模型对长波长限制的非零夸克化学电位进行了复杂的分析，该模型是curci-Ferrari模型的Landau-gauge限制，其中包含量子校正量。我们主要研究Gluon繁殖器的复杂两极，这可能与监禁有关。围绕模型参数的典型值，我们表明Gluon传播器具有一两个复杂的共轭杆，具体取决于化学电位的值。除了与零化学电位相似的一对外，当化学势大致在有效的夸克质量和模型的有效gluon质量之间时，新对也出现在实际轴附近。我们讨论了这些极点的可能解释。此外，我们证明了Matsubara繁殖器与在无穷大的一系列功能上的分析延续的唯一性，除了在真实轴上有有限数量的复杂极点和奇异性。
We perform complex analyses of the gluon propagator at nonzero quark chemical potential in the long-wavelength limit, using an effective model with a gluon mass term of the Landau-gauge Yang-Mills theory, which is a Landau-gauge limit of the Curci-Ferrari model with quantum corrections being included within the one-loop level. We mainly investigate complex poles of the gluon propagator, which could be relevant to confinement. Around typical values of the model parameters, we show that the gluon propagator has one or two pairs of complex conjugate poles depending on the value of the chemical potential. In addition to a pair similar to that in the case of zero chemical potential, a new pair appears near the real axis when the chemical potential is roughly between the effective quark mass and the effective gluon mass of the model. We discuss possible interpretations of these poles. Additionally, we prove the uniqueness of analytic continuation of the Matsubara propagator to a class of functions that vanish at infinity and are holomorphic except for a finite number of complex poles and singularities on the real axis.
