arXiv 0909.26152009-09-14hep-ph

Gribov视界与鬼穿衣函数

Gribov's horizon and the ghost dressing function

Ph. Boucaud, J. P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène, J. Rodríguez-Quintero

备注：: 13 pages, 4 figues
发表信息：: Phys.Rev.D80:094501,2009
DOI：: 10.1103/PhysRevD.80.094501

摘要：

本文研究了K.近藤在零动量之间的Zwanziger的视界函数，鬼敷料功能和Kugo的功能$u$和$w$。只要只考虑数量，我们就同意这个结果.然而，假设的有效性的视界间隙方程，我们认为，解决方案$w(0)=0$是不可接受的，因为它会导致消失的重整化鬼敷料功能。相反，当截止值变为无穷大时，$u(0) \to \infty$，$w(0) \to -\infty$使得$u(0)+w(0) \to -1$。此外，$w$和$u$不可乘法重正化。放宽间隙方程允许$w(0)=0$与$u(0) \to -1$。在这两种情况下，裸鬼敷料函数$F(0,Λ)$在无穷大截止点处以几何学方式变为无穷大。我们表明，虽然晶格结果提供裸结果没有那么不同的$F(0,Λ)=3$解决方案，这是一个意外，由于事实上，晶格截止位于1-3 GeV $^{-1}$。我们表明，重整鬼敷料功能应该是有限的和非零的零动量，可以可靠地估计在晶格上的权力的晶格间距;从公布的数据$β=5.7$的$80^4$晶格，我们得到$F_R(0,μ=1.5$ GeV）$\simeq 2.2$。

英文摘要：

We study a relation recently derived by K. Kondo at zero momentum between the Zwanziger's horizon function, the ghost dressing function and Kugo's functions $u$ and $w$. We agree with this result as far as bare quantities are considered. However, assuming the validity of the horizon gap equation, we argue that the solution $w(0)=0$ is not acceptable since it would lead to a vanishing renormalised ghost dressing function. On the contrary, when the cut-off goes to infinity, $u(0) \to \infty$, $w(0) \to -\infty$ such that $u(0)+w(0) \to -1$. Furthermore $w$ and $u$ are not multiplicatively renormalisable. Relaxing the gap equation allows $w(0)=0$ with $u(0) \to -1$. In both cases the bare ghost dressing function, $F(0,Λ)$, goes logarithmically to infinity at infinite cut-off. We show that, although the lattice results provide bare results not so different from the $F(0,Λ)=3$ solution, this is an accident due to the fact that the lattice cut-offs lie in the range 1-3 GeV$^{-1}$. We show that the renormalised ghost dressing function should be finite and non-zero at zero momentum and can be reliably estimated on the lattice up to powers of the lattice spacing ; from published data on a $80^4$ lattice at $β=5.7$ we obtain $F_R(0,μ=1.5$ GeV)$\simeq 2.2$.

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。

摘要：

英文摘要：

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