Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang–Mills theory

نویسنده

  • W. Schleifenbaum
چکیده

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge YangMills theory in four and three Euclidean space-time dimensions is presented. Nonperturbative gluon and ghost propagators are employed, which have previously been calculated from a truncated set of Dyson–Schwinger equations and which are in qualitative and quantitative agreement with corresponding lattice results. Our results for the ghost-gluon vertex show only relatively small deviations from the tree-level one in agreement with recent lattice data. In particular, we do not see any sign for a singular behaviour of the ghost-gluon vertex in the infrared.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Infrared analysis of propagators and vertices of Yang–Mills theory in Landau and Coulomb gauge

Abstract The infrared behaviour of gluon and ghost propagators, ghost-gluon vertex and three-gluon vertex is investigated for both the covariant Landau and the non-covariant Coulomb gauge. Assuming infrared ghost dominance, we find a unique infrared exponent in the d = 4 Landau gauge, while in the d = 3 + 1 Coulomb gauge we find two different infrared exponents. We also show that a finite dress...

متن کامل

Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory

The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The threeand four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost-gluon vertex remains finite in this limit. The running coupling as extracted from either of these verte...

متن کامل

Infrared behavior of the ghost-gluon vertex in Landau gauge Yang–Mills theory

Institute of Theoretical Physics, U. of Tübingen, D-72070 Tübingen, Germany (Dated: February 2, 2008) Abstract A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously been calculated from a truncated set of Dyson– Sc...

متن کامل

Temperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang–Mills Theory below the Phase Transition

The Dyson–Schwinger equations of Landau-gauge Yang–Mills theory for the gluon and ghost propagators are investigated. Numerical results are obtained within a truncation scheme which has proven to be successful at vanishing temperature. For temperatures up to 250 MeV we find only minor quantitative changes in the infrared behaviour of the gluon and ghost propagators. The effective action calcula...

متن کامل

The running coupling from the four-gluon vertex in Landau gauge SU(N) Yang-Mills theory

The running coupling of Yang-Mills theory has been investigated in a number of approaches in recent years [1]. The focus of these studies is the question how to extend our knowledge of the coupling from the perturbative, large momentum region towards small scales of the order of ΛQCD. Perturbation theory alone, plagued by the problem of the Landau pole, is clearly insufficient for this task. In...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004