论文标题

非亚伯仪理论在有限盒中的静态力潜力

Static force potential of non-abelian gauge theory at a finite box in Coulomb gauge

论文作者

Furukawa, Tomohiro, Ishibashi, Keiichi, Itoyama, H., Kambayashi, Satoshi

论文摘要

在库仑仪表量表中纯非 - 亚伯利亚量规理论的两个经典静态源之间发挥作用的力势被重新考虑到一个尺寸$ l^3 $的周期性/扭曲盒子。它的扰动行为通过短距离扩展以及衍生物扩展来检查。后者向单循环订单的扩展证实了库仑部分有效耦合常数的众所周知的变化以及Uehling电位,而前者则通过两个库仑绿色功能的卷积给出,而在$ \ bm {x} = \ bm {y} $中是非单明的。扭曲的效果通过其部门的绿色功能而产生。

Force potential exerting between two classical static sources of pure non-abelian gauge theory in the Coulomb gauge is reconsidered at a periodic/twisted box of size $L^3$. Its perturbative behavior is examined by the short-distance expansion as well as by the derivative expansion. The latter expansion to one-loop order confirms the well-known change in the effective coupling constant at the Coulomb part as well as the Uehling potential while the former is given by the convolution of two Coulomb Green functions being non-singular at $\bm{x}=\bm{y}$. The effect of the twist comes in through its Green function of the sector.

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