Nonperturbative propagators, running coupling, and the dynamical quark mass of Landau gauge QCD

By C. Fischer, R. Alkofer. 2003

200 citations recorded by the source corpus.

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon, and ghost propagators of the Landau gauge QCD is solved within truncation schemes. These employ bare as well as nonperturbative Ans\"atze for the vertices such that the running coupling as well as the quark mass function are independent of the renormalization point. The one-loop anomalous dimensions of all propagators are reproduced. Dynamical chiral symmetry breaking is found; the dynamically generated quark mass agrees well with the phenomenological values, and the corresponding results from lattice calculations. The effects of unquenching the system are small. In particular the infrared behavior of the ghost and gluon dressing functions found in previous studies is almost unchanged as long as the number of light flavors is smaller than four.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/19f4e7321069002cab7e6d9b0f471179829b615f

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In Nuclear and High Energy Physics

Citations in the corpus

QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, methodology): “This different treatment of the momentum dependence is necessary to maintain multiplicative renormalizability of the gluon-DSE [278].”
Baryons as relativistic three-quark bound states (2016, methodology): “Using ansätze for the three- and four-point vertices of the theory, first self-consistent solutions for the gluon and quark propagator have been obtained in [222].”