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arXiv 1502.00788hep-latcond-mat.str-el
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大质量有限密度格点QED的对偶模拟

Dual simulation of finite density lattice QED at large mass

Michael Kniely, Christof Gattringer

摘要:

讨论了具有两种味和一个化学势的格点QED到对偶变量的映射,对偶变量是规范场的曲面和费米子的环。的规范场是完全对偶和相应的对偶变量是整数值的元胞占据数的限制,导致一个结构的表面是封闭的或有界的费米子回路。费米子环是从Wilson-Dirac算符的行列式的一个图解跳跃展开(大质量展开)得到的。循环可以带有正号和负号。我们确定了一个子类的循环,我们称之为准平面循环,其中总的符号是积极的。对于这个子类的双重蒙特卡罗模拟是可能的,我们讨论其实施和一些结果。特别是,我们解决有限的化学势的冷凝现象。

英文摘要:

We discuss a mapping of lattice QED with two flavors and a chemical potential to dual variables, which are surfaces for the gauge fields and loops for the fermions. The gauge fields are completely dualized and the corresponding dual variables are integer valued plaquette occupation numbers with constraints that lead to a structure of surfaces that are either closed or bounded by fermion loops. The fermion loops are obtained from a resummed hopping expansion (large mass expansion) of the determinant of the Wilson-Dirac operator. The loops can come with both positive and negative signs. We identify a sub-class of loops, which we refer to as quasi-planar loops, where the total sign is positive. For this sub-class a dual Monte Carlo simulation is possible and we discuss its implementation and some results. In particular we address condensation phenomena at finite chemical potential.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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