On the IR behaviour of the Landau-gauge ghost propagator

On the IR behaviour of the Landau-gauge ghost propagator
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DOI:
10.1088/1126-6708/2008/06/099
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发表时间:
2008-03
影响因子:
5.4
通讯作者:
P. Boucaud;J. Leroy;A. Yaouanc;J. Micheli;O. Pène;J. Rodríguez-Quintero
P. Boucaud;J. Leroy;A. Yaouanc;J. Micheli;O. Pène;J. Rodríguez-Quintero
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
P. Boucaud;J. Leroy;A. Yaouanc;J. Micheli;O. Pène;J. Rodríguez-Quintero

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我们分析了深红外区域中的重影传播子Dyson-Schwinger方程(DSE),证明了在动量消失时有限的重影修饰函数是通常假定的发散函数(解I)的替代解(解II)。此外,我们还发现斯拉夫诺夫-泰勒恒等式区分了这两类解,并强烈支持解II。在数值不确定的情况下,后者也被格子模拟所偏爱。
We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep IR regime and prove that a finite ghost dressing function at vanishing momentum is an alternative solution (solution II) to the usually assumed divergent one (solution I). We furthermore find that the Slavnov-Taylor identities discriminate between these two classes of solutions and strongly support the solution II. The latter turns out to be also preferred by lattice simulations within numerical uncertainties.