arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.00432hep-ph
收藏

$SU(3)$胶子动力学中阿贝尔(反)自对偶胶子场自由能量密度的有限尺寸效应

Finite size effects in the free energy density for Abelian (anti-)self-dual gluon field in $SU(3)$ gluodynamics

Sergei N. Nedelko, Vladimir E. Voronin

摘要:

在$SU(3)$胶子动力学框架下,研究了阿贝尔(反)自对偶胶子场自由能量密度的粒子尺寸效应。特别是,胶子准零模式的作用进行了研究。在Zeta函数正则化的框架下计算了欧氏时空中半径为$R$的有限球四维区域的有效势。为了得到由渐近自由度决定的有效势的正确强场行为,准零胶子模必须按照Leutwyler的论证在单圈近似之外进行处理。讨论了在场强和区域尺寸均为有限非零值时,自由能量密度出现全局极小值的条件。

英文摘要:

Finite-size effects in the free energy density for Abelian (anti-)self-dual gluon field are investigated within $SU(3)$ gluodynamics. In particular, the role of gluon quasi-zero modes is studied. The effective potential is calculated within the framework of zeta function regularization for finite spherical four-dimensional region of radius $R$ in Euclidean space-time. In order to obtain the correct strong-field behavior of the effective potential which is determined by the asymptotic freedom, the quasi-zero gluon modes have to be treated beyond one-loop approximation in line with the argumentaion of Leutwyler. Conditions for appearance of the global minimum of the free energy density at finite nonzero values of both field strength and region size are discussed.

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。

↑