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arXiv · 0704.2308

On dynamical gluon mass generation

A. C. Aguilar·J. Papavassiliou
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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.

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A. C. Aguilar, J. Papavassiliou. 2007-04-18. On dynamical gluon mass generation. https://doi.org/10.1140/epja%2Fi2006-10281-7

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