格微分算子谱和的薄的和修饰的Polyakov环
Thin and dressed Polyakov loops from spectral sums of lattice differential operators
摘要：
我们表示薄和穿着Polyakov循环的微分算子的特征值的谱和的格。为此，我们计算完整的交错狄拉克和协变拉普拉斯算子的特征值的几个时间边界条件。来自不同边界条件的光谱可以被组合，使得它们表示单个（薄）Polyakov环，或环的集合（修饰的Polyakov环）。我们分析了本征值在低于和高于临界温度的谱和中的作用。
英文摘要：
We represent thin and dressed Polyakov loops as spectral sums of eigenvalues of differential operators on the lattice. For that purpose we calculate complete sets of eigenvalues of the staggered Dirac and the covariant Laplace operator for several temporal boundary conditions. The spectra from different boundary conditions can be combined such that they represent single (thin) Polyakov loops, or a collection of loops (dressed Polyakov loops). We analyze the role of the eigenvalues in the spectral sums below and above the critical temperature.
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