Solving the Schwinger-Dyson equation for a scalar propagator in Minkowski space

Abstract

The Schwinger-Dyson equation for a scalar propagator is solved in Minkowski space with the help of an integral spectral representation, both for spacelike and timelike momenta. The equation is re-written into a form suitable for numerical solution by iterations. This procedure is described for a simple unphysical Lagrangian with a cubic interaction, with future extensions to more realistic theories in mind.

4 pages, 2 figures

Cited by in corpus (11)

• Study of relativistic bound states for scalar theories in Bethe-Salpeter and Dyson-Schwinger formalism
• Minkowski solution of Dyson-Schwinger equations in momentum subtraction scheme
• Non-perturbative Propagators, Running Coupling and Dynamical Mass Generation in Ghost-Antighost Symmetric Gauges in QCD
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• Analytical approach to chiral symmetry breaking in Minkowsky space
• Padé approximants and analytic continuation of Euclidean Phi-derivable approximations
• Pinch Technique for Schwinger-Dyson equations
• The analytic structure of three-point functions from contour deformations
• From Euclidean to Minkowski space with the Cauchy-Riemann equations
• The Bethe-Salpeter approach to bound states: from Euclidean to Minkowski space
• Unitarity in Multi-Higgs Production