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

Static force potential of a non-Abelian gauge theory in a finite box in Coulomb gauge
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库仑规范有限盒子中非阿贝尔规范理论的静力势

DOI:
10.1103/physrevd.103.056003
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发表时间:
2021
期刊:
Phys. Rev. D
影响因子:
--
通讯作者:
and Satoshi Kambayashi
and Satoshi Kambayashi
中科院分区:
--
文献类型:
--
作者:
Tomohiro Furukawa;Keiichi Ishibashi;H. Itoyama;and Satoshi Kambayashi

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本文重新考虑了库仑规范中纯非阿贝尔规范理论中两个经典静态源之间施加的力势。用短距离展开和导数展开考察了它的微扰行为。后者展开到单环阶证实了众所周知的库仑部分有效耦合常数和Uehling势的变化,而前者是由两个在x=y处非奇异的库仑格林函数的卷积给出的。扭转的效果是通过该部门的绿色功能来实现的。
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. 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 nonsingular at x=y. The effect of the twist comes in through its Green function of the sector.
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DOI: 10.1016/0550-3213(91)90088-f
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