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22-27 March 2015
Hotel do Bosque
Brazil/East timezone

Gluon Schwinger-Dyson equation in the PT-BFM scheme

Not scheduled
3h 30m
Hotel do Bosque

Hotel do Bosque

Rodovia Mário Covas (Rio-Santos) BR - 101 Sul, Km 533, Angra dos Reis, RJ, Brazil
Poster Field theoretical approaches to QCD


Mr Antonio Maurício S. N. Ferreira (UNICAMP)


One of the most widely used approach for studying the IR sector of QCD are the Schwinger-Dyson equations. This infinite system of coupled non-linear integral equations for all Green’s functions of the theory is inherently non-perturbative and can accommodate phenomena such as chiral symmetry breaking and dynamical mass generation. In practice, however, their usefulness hinges crucially on one's ability to devise a self-consistent truncation scheme that would select a tractable subset of these equations, without compromising the physics one hopes to describe. Here in this work, we will review, the PT-BFM truncation scheme, which is based on the synthesis of the pinch technique (PT) and the background field method (BFM). We will show that this truncation scheme implements a drastic modification already at the level of the building blocks of the Schwinger-Dyson series, which after being rearranged, satisfy the Abelian Ward identities instead of the usual Slavnov-Taylor identity. As a result, gluonic and ghost contributions are separately transverse, within each order in the ``dressed-loop'' expansion. We will show explicitly, it is much easier to devise truncation schemes that manifestly preserve the transversality of the gluon self-energy.

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