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The Non‐Perturbative Approach to the Infrared Problem in QCD at Finite Temperature
Author(s) -
Kalashnikov O. K.,
Klimov V. V.,
Casado E.
Publication year - 1983
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190311104
Subject(s) - propagator , quantum chromodynamics , gravitational singularity , physics , gluon , perturbation theory (quantum mechanics) , infrared , mathematical physics , gauge (firearms) , perturbative qcd , quantum electrodynamics , tensor (intrinsic definition) , gauge theory , particle physics , quantum mechanics , mathematics , pure mathematics , archaeology , history
A non‐perturbative approach is developed for investigation of the infrared problem in QCD at T ≠ 0 in the ghost‐free axial gauge. The problem is solved by using a 3‐dimensional theory within the exact Slavnov‐Taylor identities and Schwinger‐Dyson equations. The system of two non‐linear integral equations for the structural functions of the gluon polarization tensor is obtained whose solution determines the infrared behavior of the temperature Green functions in the 4‐dimensional QCD. The simplest solution of these equations which is the same as the first term of the perturbation expansion shows the presence of singularities in the gluon propagator at momenta p ∼ g 2 T , that cannot be eliminated by any choice of the gauge. The infrared instability of QCD at T ≠ 0 caused by these singularities is discussed.