6533b85cfe1ef96bd12bca9b

RESEARCH PRODUCT

On dynamical gluon mass generation

Joannis PapavassiliouArlene Cristina Aguilar

subject

PhysicsNuclear and High Energy PhysicsParticle physicsBackground field methodHigh Energy Physics::LatticeMass generationHigh Energy Physics::PhenomenologyFísicaFOS: Physical sciencesPropagatorIntegral equationGluonVertex (geometry)Massless particleHigh Energy Physics::TheoryHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PinchMathematical physics

description

The effective gluon propagator constructed with the pinch technique is governed by a Schwinger-Dyson equation with special structure and gauge properties, that can be deduced from the correspondence with the background field method. Most importantly the non-perturbative gluon self-energy is transverse order-by-order in the dressed loop expansion, and separately for gluonic and ghost contributions, a property which allows for a meanigfull truncation. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles. The resulting integral equation, subject to a properly regularized constraint, is solved numerically, and the main features of the solutions are briefly discussed.

10.1140/epja/i2006-10281-7http://arxiv.org/abs/0704.2308