Relating a gluon mass scale to an infrared fixed point in pure gauge QCD.
نویسندگان
چکیده
We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the beta function. We argue that the frozen value of the coupling constant found in some solutions of the Schwinger-Dyson equations of QCD can be related to this fixed point. We also discuss how the inclusion of fermions modifies this property.
منابع مشابه
Effective gluon mass and infrared fixed point in QCD
We report on a special type of solutions for the gluon propagator of pure QCD, obtained from the corresponding non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions reach a finite value in the deep infrared and may be fitted using a massive propagator, with the crucial characteristic that the effective “mass” employed depends on the ...
متن کاملA dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution while the ghost propagator develops an enhanced behavior in the infrared regime of QCD. Simple analytical expressions are proposed for the propagators, and the m...
متن کاملThe Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
A solvable systematic truncation scheme for the Dyson–Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov–Taylor identities for the three–gluon and ghost–gluon vertices, whereas irreducible four–gluon couplings as well as the gluon–ghost and ghost–ghost scattering kernels are neglected. The infrared behavior of gluon and ghost propagators is obtained ana...
متن کاملKugo – Ojima Confinement Criterion , Zwanziger – Gribov Horizon Condition , and Infrared Critical Exponents in Landau Gauge Qcd
The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's horizon condition) results from quite general properties of the ghost Dyson– Schwinger equation. The numerical solutions for the gluon and ghost propagators...
متن کاملA Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge
A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a closed system of equations for the propagators is obtained. For the pure gauge theory without quarks ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review letters
دوره 90 15 شماره
صفحات -
تاریخ انتشار 2003