6533b7d9fe1ef96bd126d7b8
RESEARCH PRODUCT
A gauge-technique Ansatz for the three gluon vertex of the background field method
Joannis Papavassiliousubject
Vertex (graph theory)PhysicsParticle physicsBackground field methodHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyPropagatorFOS: Physical sciencesGauge (firearms)GluonHigh Energy Physics - PhenomenologyIdentity (mathematics)High Energy Physics::TheoryHigh Energy Physics - Phenomenology (hep-ph)Gluon fieldMathematical physicsAnsatzdescription
The vertex connecting one background gluon with two quantum ones constitutes a central ingredient in the gauge-invariant Schwinger-Dyson equation that determines the non-perturbative dynamics of the gluon propagator. This vertex satisfies a Ward identity with respect to the background gluon, and a Slavnov-Taylor identity with respect to the two quantum gluons. We present a complete Ansatz for this vertex, which satisfies both aforementioned identities. This entire construction depends crucially on a set of constraints relating the various form-factors of the ghost Green's functions appearing in the Slavnov-Taylor identity satisfied by the vertex. The validity of these constraints is demonstrated to all orders.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-03-03 |