$n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills theory to the lowest perturbative order

Abstract

We compute, to the lowest perturbative order in $SU(N)$ Yang-Mills theory, $n$-point correlators in the coordinate and momentum representation of the gauge-invariant twist-$2$ operators with maximal spin along the $p_{+}$ direction, both in Minkowskian and -- by analytic continuation -- Euclidean space-time. We also construct the corresponding generating functionals. Remarkably, they have the structure of the logarithm of a functional determinant of the identity plus a term involving the effective propagators that act on the appropriate source fields.

arXiv comment77 pages, no figures, paper expanded by including the generating functionals of the correlators both in the coordinate and momentum representation

References in corpus (12)

• Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
• The Uses of Conformal Symmetry in QCD
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Superconformal operators in N=4 super-Yang-Mills theory
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• One-Loop QCD Spin Chain and its Spectrum
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Two-loop evolution equation for the B-meson distribution amplitude
• Glueball and meson propagators of any spin in large-N QCD
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Ultraviolet asymptotics of glueball propagators
• An asymptotic solution of large-$N$ $QCD$

Cited by in corpus (3)

• Operator mixing in massless QCD-like theories and Poincare'-Dulac theorem
• UV asymptotics of $n$-point correlators of twist-$2$ operators in SU($N$) Yang-Mills theory
• Operator mixing, UV asymptotics of nonplanar/planar $2$-point correlators, and nonperturbative large-$N$ expansion of QCD-like theories