Infrared Asymptotics of Green Functions and Gauge Invariant Effective Lagrangian in Quantum Chromodynamics

摘要

The Schwinger-Dyson equations are used to find infrared asymptotics for quark and gluon propagators. Gluon propagator is shown to have the asymptotics D(k) approximately 1/(k exp 2 ) exp 2 at k exp 2 implies 0 which is also in agreement with an existence of massive solution for quark propagator. The infrared asymptotics of the triple gluon vertex is in this case of quite a definite form. The results enable us to formulate gauge invariant Lagrangian, effective in infrared region, for quantum chromodynamics. Possible application of the results to the problem of dynamical quark masses generation is discussed. (Atomindex citation 14:738826)