Renormalization in Coulomb-gauge QCD within the Lagrangian formalism

Renormalization in Coulomb-gauge QCD within the Lagrangian formalism
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拉格朗日形式主义内库仑规范 QCD 的重正化

DOI:
10.1103/physrevd.74.045021
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发表时间:
2006
期刊:
影响因子:
5
通讯作者:
A. Niégawa
A. Niégawa
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Niégawa

文献摘要

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我们研究拉格朗日二阶形式主义中库仑规范 QCD 的重整化。我们导出了 Ward 恒等式和 Zinn-Justin 方程,并且在后者的帮助下,我们给出了该理论的代数可重整化性的证明。通过图解分析,我们表明,在严格的库仑规范中,${g}^{2}{D}^{00}$在重正化下是不变的。 (${D}^{00}$ 是胶子传播器的时间-时间分量。)
We study renormalization of Coulomb-gauge QCD within the Lagrangian, second-order, formalism. We derive a Ward identity and the Zinn-Justin equation, and, with the help of the latter, we give a proof of algebraic renormalizability of the theory. Through diagrammatic analysis, we show that, in the strict Coulomb gauge, ${g}^{2}{D}^{00}$ is invariant under renormalization. (${D}^{00}$ is the time-time component of the gluon propagator.)