Eur. Phys. J. A (2007) 31: 742-745
https://doi.org/10.1140/epja/i2006-10281-7

QNP 2006

On dynamical gluon mass generation

¹ Instituto de Fısica Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP, Brazil
² Departamento de Fısica Teórica and IFIC, Universidad de Valencia-CSIC, E-46100, Burjassot, Valencia, Spain

^* e-mail: Joannis.Papavassiliou@uv.es

Received: 18 December 2006
Accepted: 25 December 2006
Published online: 20 March 2007

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.