纯U（1）层相库仑定律的建立格点规范理论
Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory
摘要：
在这篇文章中，我们研究层相的五维，各向异性，阿贝尔规范模型。我们的结果与四维U（1）规范模型的结果进行了比较，试图验证四维物理支配四维层。主要结果如下：i）从威尔逊圈的分析中，我们验证了分层相中重电荷之间的电势的$\frac{1}{R}$行为。发现层状相的重整化精细结构常数等于4D库仑相的重整化精细结构常数，$α_{layer}$ = $α_{4D}$。ii）基于螺旋模量分析，我们表明，层是在库仑相，而横向体空间是在封闭相。我们还计算了重整化耦合$β_{R}$，发现结果与库仑势的结果一致。最后我们计算了5D库仑相中的电势，发现了静态$q \bar{q}$势的$\frac{1}{R^{2}}$行为。通过对螺旋度模的研究，我们得到了在裸规范耦合临界值区域内的五维重整化精细结构常数的一个可能的估计。
英文摘要：
In this article we examine the Layer phase of the five dimensional, anisotropic, Abelian gauge model. Our results are to be compared with the ones of the 4D U(1) gauge model in an attempt to verify that four dimensional physics governs the four dimensional layers. The main results are: i) From the analysis of Wilson loops we verified the $\frac{1}{R}$ behavior, in the layered phase, for the potential between heavy charges. The renormalized fine structure constant in the layer phase is found to be equal to that of 4D Coulomb phase,$α_{layer}$=$α_{4D}$. ii) Based on the helicity modulus analysis we show that the layers are in the Coulomb phase while the transverse bulk space is in the confining phase. We also calculated the renormalized coupling $β_{R}$ and found results compatible with those obtained from the Coulomb potential. Finally we calculated the potential in the 5D Coulomb phase and found $\frac{1}{R^{2}}$ behavior for the static $q \bar{q}$ potential. From the study of the helicity modulus we have a possible estimate for the five dimensional renormalized fine structure constant in the region of the critical value of the bare gauge coupling.
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