标题： 关于非紧致格点QED中单极子与手征对称性破缺的相互作用 显示英文标题

标题： On the Interplay of Monopoles and Chiral Symmetry Breaking in Non-Compact Lattice QED

摘要： 非紧致格点QED通过精确的混杂蒙特卡洛算法，在不同数量的费米子种类 $N_f$ （从8到40）下进行了模拟。在此 $N_f$ 范围内，发现手征对称性破缺与理论中的有效单极子之间存在强烈的关联。对于 $N_f$ 在8到16之间的范围，手征对称性破缺和单极子渗透转变均为二阶且同时发生。假设临界行为服从幂律，手征转变的关联长度指数与单极子渗透转变的相同。这一结果支持了单极子渗透“驱动”非平凡手征转变的猜想。对于 $N_f$ 在20到32之间的范围，单极子经历了一阶凝聚转变，与一阶手征转变同时发生。对于 $N_f$ 大至40时，这两种转变都被强烈抑制。大 $N_f (N_f \mathrel {\mathpalette \vereq >} 20)$ 的数据被解释为强相互作用单极子气体-液体转变的结果。 显示英文摘要

摘要： Non-compact lattice QED is simulated for various numbers of fermion species $N_f$ ranging from 8 through 40 by the exact Hybrid Monte Carlo algorithm. Over this range of $N_f$, chiral symmetry breaking is found to be strongly correlated with the effective monopoles in the theory. For $N_f$ between 8 and 16 the chiral symmetry breaking and monopole percolation transitions are second order and coincident. Assuming powerlaw critical behavior, the correlation length exponent for the chiral transition is identical to that of monopole percolation. This result supports the conjecture that monopole percolation ``drives" the nontrivial chiral transition. For $N_f$ between 20 and 32, the monopoles experience a first order condensation transition coincident with a first order chiral transition. For $N_f$ as large as 40 both transitions are strongly suppressed. The data at large $N_f (N_f \mathrel {\mathpalette \vereq >} 20)$ is interpreted in terms of a strongly interacting monopole gas-liquid transition.