Darmstadt 2016 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 34: Heavy Ion Collision and QCD Phases VIII

HK 34.3: Talk

Wednesday, March 16, 2016, 14:45–15:00, S1/01 A01

Yang-Mills correlation functions from functional methods — •Anton Konrad Cyrol¹, Leonard Fister², Mario Mitter¹, Jan Martin Pawlowski^1,3, and Nils Strodthoff¹ — ¹Institute for Theoretical Physics, Heidelberg University, Philosophenweg 16, 69120 Heidelberg, Germany — ²Institut de Physique Theorique, CEA Saclay, F-91191 Gif-sur-Yvette, France — ³ExtreMe Matter Institute EMMI, GSI, Planckstr. 1, D-64291 Darmstadt, Germany

We investigate SU(3)-Yang-Mills theory in a systematic vertex expansion scheme for the effective action. Particular focus is put on the dynamical creation of the gluon mass gap at non-perturbative momenta, and the consistent treatment of quadratic divergences. The gluon and ghost propagators as well as the momentum-dependent ghost-gluon, three-gluon and four-gluon vertices are calculated self-consistently. Furthermore, we calculate the two-ghost-two-gluon and the four-ghost vertices and back-couple them into the propagator equations. Apparent convergence of the expansion scheme is shown. The result for the gluon propagators is in quantitative agreement with the corresponding lattice results.