Dynamical chiral symmetry breaking with Minkowski space integral representations

Abstract

The fermion propagator is studied in the whole Minkowski space with the help of the Schwinger-Dyson equations. Various integral representations are employed to get solutions for the dynamical breaking of chiral symmetry in different regimes of the coupling constant. In particular, in the case of massive boson, we extend the singularity structure of the fermion propagator to the two real pole Ansatz.

4 pages, 4 figures, published version in PRD

References in corpus (6)

• Analytic properties of the Landau gauge gluon and quark propagators
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Minkowski solution of Dyson-Schwinger equations in momentum subtraction scheme
• Implications of analyticity to solution of Schwinger-Dyson equations in Minkowski space
• Analytical approach to chiral symmetry breaking in Minkowsky space

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• Dynamical mass generation in Minkowski space at QCD scale
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• The analytic structure of three-point functions from contour deformations
• From Euclidean to Minkowski space with the Cauchy-Riemann equations
• Confined gluon from Minkowski space continuation of PT-BFM SDE solution
• Pion inspired by QCD: Nakanishi and Light-Front Integral Representations
• Quark Schwinger-Dyson equation in temporal Euclidean space
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators