Wilson expansion of QCD popagators at three loops: operators of dimension two and three

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A 2 , m 2 , mA 2 , , and m 3 . We compute analytically the coefficient functions of these operators at three loop...

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Veröffentlicht in:The journal of high energy physics 2010-01, Vol.2010 (1), Article 92
Hauptverfasser: Chetyrkin, K. G., Maier, A.
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description In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A 2 , m 2 , mA 2 , , and m 3 . We compute analytically the coefficient functions of these operators at three loops for all three propagators in the general covariant gauge. Our results, taken in the Landau gauge, should help to improve the accuracy of extracting the vacuum expectation values of these operators from lattice simulation of the QCD propagators.
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subjects Classical and Quantum Gravitation
Computer simulation
Elementary Particles
Gluons
High energy physics
Mathematical analysis
Operators
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
title Wilson expansion of QCD popagators at three loops: operators of dimension two and three
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