SU中态密度的级数展开（2）格点规范理论
Series expansions of the density of states in SU(2) lattice gauge theory
摘要：
本文数值计算了SU（2）格点规范理论在$L^4$格点上的态密度n（S）。对于小的S值，解决了小的体积依赖性。我们比较了$ln(n(S))$与弱耦合和强耦合展开。中间阶展开显示出对应于交叉的S值的良好重叠。我们将这些扩张的收敛性与平均元格的收敛性联系起来。我们发现，当已知的对数奇点减去$ln(n(S))$，勒让德多项式的扩展出现收敛，并可能适合于确定的配分函数的Fisher零点。
英文摘要：
We calculate numerically the density of states n(S) for SU(2) lattice gauge theory on $L^4$ lattices. Small volume dependence are resolved for small values of S. We compare $ln(n(S))$ with weak and strong coupling expansions. Intermediate order expansions show a good overlap for values of S corresponding to the crossover. We relate the convergence of these expansions to those of the average plaquette. We show that when known logarithmic singularities are subtracted from $ln(n(S))$, expansions in Legendre polynomials appear to converge and could be suitable to determine the Fisher's zeros of the partition function.
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