OPE of the energy-momentum tensor correlator in massless QCD

Abstract

We analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the coefficient C_0 in front of the unity operator O_0=1 and the one and two-loop contributions to the coefficient C_1 in front of the gluon "condensate" operator O_1=-1/4 G^{μν} G_{μν}. For the correlator of two operators O_1 we present the coefficient C_1 at two-loop level.

v2: comments and appendix added, results are now available in computer readable form; v3: JHEP version, extended discussion of the method of projectors

References in corpus (3)

• Energy-momentum tensor correlators and spectral functions
• Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results
• Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory

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