arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1107.3968hep-phhep-lathep-th
收藏

有效胶子质量的动力学方程

The dynamical equation of the effective gluon mass

A. C. Aguilar, D. Binosi, J. Papavassiliou

摘要:

本文导出了朗道规范中控制有效胶子质量动量依赖性的积分方程。这是通过一个明确的分离相应的“一圈打扮”Schwinger-Dyson方程成两个不同的贡献,一个与质量和一个与胶子的标准动力学部分。整个结构依赖于一个非微扰原点的纵向耦合顶点的存在,它在动力学质量的存在下强制规范不变性。由此产生的质量方程的特定结构,加上对正定胶子质量的额外要求,对胶子敷料函数的导数施加了相当严格的约束,这可以通过SU(2)和SU(3)的胶子传播子的大体积晶格数据轻松满足。数值处理的质量方程,在一些简化的假设下,提出了上述规范群,产生胶子质量,这是一个非单调的功能的动量。各种理论的改进和可能的未来方向进行了简要讨论。

英文摘要:

In this article we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding "one-loop dressed" Schwinger-Dyson equation into two distinct contributions, one associated with the mass and one with the standard kinetic part of the gluon. The entire construction relies on the existence of a longitudinally coupled vertex of nonperturbative origin, which enforces gauge invariance in the presence of a dynamical mass. The specific structure of the resulting mass equation, supplemented by the additional requirement of a positive-definite gluon mass, imposes a rather stringent constraint on the derivative of the gluonic dressing function, which is comfortably satisfied by the large-volume lattice data for the gluon propagator, both for SU(2) and SU(3). The numerical treatment of the mass equation, under some simplifying assumptions, is presented for the aforementioned gauge groups, giving rise to a gluon mass that is a non-monotonic function of the momentum. Various theoretical improvements and possible future directions are briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑