On dynamical gluon mass generation

Abstract

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.

Special Article - QNP2006: 4th International Conference on Quarks and Nuclear Physics, Madrid, Spain, 5-10 June 2006

References in corpus (3)

• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Gluon mass generation in the PT-BFM scheme
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD

Cited by in corpus (7)

• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Gauge Sector Dynamics in QCD
• The dynamical equation of the effective gluon mass
• The low-momentum ghost dressing function and the gluon mass
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• Gluon mass scale through the Schwinger mechanism
• QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation?