标题： SU(N)规范理论在T=0和T=Tc时的拓扑结构 显示英文标题

标题： Topology of SU(N) gauge theories at T=0 and T=Tc

摘要： 我们计算了直到 N=8 的 SU(N) 格点规范场的拓扑电荷密度。 我们的 T=0 拓扑易位参数似乎在 N=∞ 时接近一个有限的非零极限，这与从较小的 N 值进行的早期外推一致。在去禁闭温度 Tc 附近，由于相变相当强的第一阶特性，我们可以分别研究禁闭相和去禁闭相。 我们发现禁闭相的拓扑易位参数始终与 T=0 时非常相似。 相比之下，在较大的 N 值下，去禁闭相中除了罕见的孤立且小的瞬子外，不存在拓扑涨落。 这表明，当 N→∞ 时，大瞬子在高温下的抑制和小瞬子在大 N 下的抑制在 T=Tc 时重叠，从而抑制了去禁闭相中的所有拓扑涨落。 相反，在禁闭相中，尺寸分布随 T 几乎相同，随着 N 增长变得更加尖锐，表明 D(ρ) 在 N=∞ 时可能正比于一个 δ 函数，集中在接近 1/Tc 的 ρ 上。 显示英文摘要

摘要： We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature Tc we are able to investigate separately the confined and deconfined phases, since the transition is quite strongly first order. We find that the topological susceptibility of the confined phase is always very similar to that at T=0. By contrast, in the deconfined phase at larger N there are no topological fluctuations except for rare, isolated and small instantons. This shows that as N->infinity the large-T suppression of large instantons and the large-N suppression of small instantons overlap, even at T=Tc, so as to suppress all topological fluctuations in the deconfined phase. In the confined phase by contrast, the size distribution is much the same at all T, becoming more peaked as N grows, suggesting that D(rho) is proportional to a delta function at N=infinity, centered on rho close to 1/Tc.