arXiv 1001.49792010-01hep-lat

各向同性格点上紧致三维U（1）规范理论的临界行为

Critical behavior of the compact 3d U(1) gauge theory on isotropic lattices

Oleg Borisenko, Roberto Fiore, Mario Gravina, Alessandro Papa

备注：: 15 pages, 7 figures; version accepted for publication on J. Stat. Mech.
发表信息：: J.Stat.Mech.1004:P04015,2010
DOI：: 10.1088/1742-5468/2010/04/P04015

摘要：

本文计算了有限温度下紧致三维U（1）格点规范理论的退禁闭相变临界点、临界指数和弦张力。临界指数控制着纯规范U（1）模型中的退禁闭相变的行为，并且通常预期与二维XY模型的临界指数一致。我们数值研究了空间扩展范围从L=32到L=256的格点上N_t=8的U（1）模型。我们确定的无穷体积临界点的晶格上的N_t=8的实质上不同于伪临界耦合在L=32，发现在文献中的早期和隐含假设的起始值的解除相。从伪临界耦合与空间晶格的扩展的标度计算的临界指数$ν$与XY值$ν$ =1/2一致。另一方面，指数$η$显示出与预期普遍值的较大偏差。详细讨论了这种行为的可能原因。

英文摘要：

We report on the computation of the critical point of the deconfinement phase transition, critical indices and the string tension in the compact three dimensional U(1) lattice gauge theory at finite temperatures. The critical indices govern the behavior across the deconfinement phase transition in the pure gauge U(1) model and are generally expected to coincide with the critical indices of the two-dimensional XY model. We studied numerically the U(1) model for N_t=8 on lattices with spatial extension ranging from L=32 to L=256. Our determination of the infinite volume critical point on the lattice with N_t=8 differs substantially from the pseudo-critical coupling at L=32, found earlier in the literature and implicitly assumed as the onset value of the deconfined phase. The critical index $ν$ computed from the scaling of the pseudo-critical couplings with the extension of the spatial lattice agrees well with the XY value $ν$=1/2. On the other hand, the index $η$ shows large deviation from the expected universal value. The possible reasons of such behavior are discussed in details.

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英文摘要：

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