arXiv 2101.083412021-01hep-thhep-lat

朗道规范中屏蔽质量膨胀的热扩展

Thermal extension of the screened massive expansion in the Landau gauge

Fabio Siringo, Giorgio Comitini

发表信息：: Phys. Rev. D 103, 074014 (2021)
DOI：: 10.1103/PhysRevD.103.074014

摘要：

将纯SU（3）Yang-Mills理论的质量屏蔽展开推广到有限温度朗道规范下。所有的热积分的评价解析到外部一维积分，得到明确的积分表示的解析函数，可以继续到整个复杂的平面。胶子传播子首先在欧几里得空间中探索，利用从第一性原理获得的参数，这已经被发现可以准确地再现零温度下的晶格数据。在这样一个方案中，与晶格在$T\neq 0$的一致性被证明只是定性的。改进的描述提供的参数被调整在一个温度依赖的方式通过一个适合的数据，分别进行每个组件的传播;特别是，横向分量密切遵循的晶格数据，而协议的纵向分量与数据是穷人在小动量和适度的高温。然后利用拟合的参数从复平面中的极轨线中提取准胶子的色散关系。交叉被发现的质量，抑制温度像一个序参量在限制相，而增加像一个普通的热质量在deconfined相。

英文摘要：

The massive screened expansion for pure SU(3) Yang-Mills theory is extended to finite temperature in the Landau gauge. All thermal integrals are evaluated analytically up to an external one-dimensional integration, yielding explicit integral representations of analytic functions which can be continued to the whole complex plane. The gluon propagator is first explored in the Euclidean space by making use of parameters obtained from first principles, which were already found to accurately reproduce the lattice data at zero temperature. Within such a scheme, the agreement with the lattice at $T\neq 0$ turns out to be only qualitative. The description improves provided that the parameters are tuned in a temperature-dependent way by a fit to the data, carried out separately for each component of the propagator; in particular, the transverse component closely follows the lattice data, while the agreement of the longitudinal component with the data is poor at small momenta and moderately high temperatures. The dispersion relations of the quasi-gluon are then extracted from the pole trajectory in the complex plane using the fitted parameters. A crossover is found for the mass, suppressed by temperature like an order parameter in the confined phase, while increasing like an ordinary thermal mass in the deconfined phase.

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