Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD

Abstract

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its non-perturbative treatment without compromising the transversality of the solution, even when entire sets of diagrams (most notably the ghost loops) are omitted, or treated perturbatively.

9 pages, 2 figures

References in corpus (1)

• Scaling behavior and positivity violation of the gluon propagator in full QCD

Cited by in corpus (2)

• Pinch Technique: Theory and Applications
• Non-perturbative comparison of QCD effective charges