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The European Physical Journal A

, Volume 31, Issue 4, pp 742–745 | Cite as

On dynamical gluon mass generation

  • A. C. Aguilar
  • J. PapavassiliouEmail author
QNP 2006

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.

PACS.

12.38.Lg Other nonperturbative calculations 12.38.Aw General properties of QCD (dynamics, confinement, etc.) 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Instituto de Fısica TeóricaUniversidade Estadual PaulistaSão PauloBrazil
  2. 2.Departamento de Fısica Teórica and IFICUniversidad de Valencia-CSICBurjassot, ValenciaSpain

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