论文标题

$ a_0 $凝结,尼尔森的身份和有效的订单参数潜力

$A_0$ condensation, Nielsen's identity and effective potential of order parameter

论文作者

Skalozub, Vladimir

论文摘要

在高温SU(2)Gluodynemics中,研究了零分量量规势势A_0 = CONS的凝结,并研究了其固定量的依赖性。 A_0与Polyakov的循环<l>相互关联。双环有效电位W(A_0,XI)在背景相对论R_XI仪表中重新计算。它取决于参数XI,具有非平凡的最小值,并满足Nielsen的身份。这些迹象意味着冷凝现象的仪表不变性。 遵循Belyaev的想法,我们用<l>来表达W(A_0,XI)。获得的订单参数的有效潜力与该作者得出的参数不同。它独立于XI,并且具有非平凡的最低位置。因此,随后是A_0缩合。我们表明,与A_0和(A_0)| _(经典)相关的方程与(a)$ - 平原中的特殊特征轨道相吻合,W(a)$ - 普通的w(a_0,xi)与xi无关。通过这种方式,建立了这两个规格不变描述之间的链接。计算Polyakov环的最小值。给出了与其他作者的结果进行比较。

In high temperature SU(2) gluodynamics, the condensation of the zero component gauge field potential A_0 =const and its gauge-fixing dependence are investigated. A_0 is mutually related with Polyakov's loop <L>. The two-loop effective potential W(A_0,xi) is recalculated in the background relativistic R_xi gauge. It depends on the parameter xi, has a nontrivial minimum and satisfies Nielsen's identity. These signs mean gauge invariance of the condensation phenomenon. Following the idea of Belyaev, we express W(A_0,xi) in terms of <L>. The obtained effective potential of order parameter differs from that derived by this author. It is independent of xi and has a nontrivial minimum position. Hence the A_0 condensation follows. We show that the equation relating A_0 and (A_0)|_(classical) coincides with the special characteristic orbit in the (A)$-plain along which the W(A_0,xi) is xi-independent. In this way the link between these two gauge invariant descriptions is established. The minimum value of the Polyakov loop is calculated. Comparison with results of other authors is given.

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