Th Meissner

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We determine the convergence radius mconv for the expansion in the current quark mass using the Dyson-Schwinger (DS) equation of QCD in the rainbow approximation. Within a Gaussian form for the gluon propagator Dμν(p) ∼ δμνχe p2 ∆ we find that mconv increases with decreasing width ∆ and increasing strength χ2. For those values of χ2 and ∆, which provide the(More)
We study translational and spin-isospin symmetry restoration for the two-flavor chiral quark-loop soliton. Instead of a static soliton at rest we consider a boosted and rotating hedgehog soliton. Corrected classical meson fields are obtained by minimizing a corrected energy functional which has been derived by semi-classical methods (’variation after(More)
  • Chr V Christov, A Blotz, +8 authors P Pobylitza
  • 1993
The Nambu Jona-Lasinio model in its SU(2) and SU(3) versions with scalar and pseudoscalar coupling are applied to baryons. The parameters of the model are fixed in the meson sector. The baryons arise as a soliton of three valence quarks coupled to the Dirac sea (quark-antiquarks pairs). Within the SU(2) version the nucleon static properties as well as some(More)
A global color symmetry model (GCM) that is based upon an effective quarkquark interaction arises from the QCD partition function by formally integrating over the gluon fields and truncating the expansion in gluon n point functions after n = 2. This model truncation respects all global symmetries of QCD, in particular chiral symmetry. What is lost is(More)
It is essential to know the space-time structure of the nonlocal vacuum condensates for application to medium energy processes. Using the DysonSchwinger formalism in the rainbow approximation for the quark propagator, we study the nonlocal quark condensate and model forms for the nonperturbative gluon propagator constrained by fits to local condensates and(More)
The q2 dependence of the ρ − ω mixing amplitude is analyzed with the use of the QCD sum rules and the dispersion relation. Going off shell the mixing decreases, changes sign at q2 ≃ 0.4mρ > 0 and is negative in the space like region. Implications of this result to the isospin breaking part of the nuclear force are discussed. Typeset using REVTEX Internet(More)
We investigate the 2-point correlation function for the vector current. The gluons provide dressings for both the quark self energy as well as the vector vertex function, which are described consistently by the rainbow DysonSchwinger equation and the inhomogeneous ladder Bethe-Salpeter equation. The form of the gluon propagator at low momenta is modeled by(More)