Graph Calculus and the Disconnected-Boundary Schwinger-Dyson Equations of Quartic Tensor Field Theories

Boundary Conditions for Schwinger{dyson Equations and Vacuum Selection

Derivation of Dyson-Schwinger equations

Dyson-Schwinger equations, the equations of motion of Green functions, provide a non-perturbative description of quantum eld theories. Especially for the strong interaction they have been used very successfully in recent years. In this note their derivation is described. As examples the twopoint Dyson-Schwinger equation for a scalar theory and the ghost-gluon vertex Dyson-Schwinger equations of...

Complex Langevin Equations and Schwinger-Dyson Equations

Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger-Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. Relevance to the study of quantum field theory phase space is discussed.

Dyson-schwinger Equations and Their Application to Nonperturbative Field Theory

Two examples of recent progress in applications of the Dyson–Schwinger equation (DSE) formalism are presented: (1) Strong coupling quantum electrodynamics in 4 dimensions (QED4) is an often studied model, which is of interest both in its own right and as an abelian model of quantum chromodynamics (QCD). We present results from a study of subtractive renormalization of the fermion propagator Dys...

Dyson - Schwinger Equations in Nonperturbativefield

The Dyson-Schwingerequation formalism is reviewed and its applicationto nonperturba-tive studies of gauge eld theories is dicussed. As a speciic illustration of the derivation and techniques we discuss strong coupling QED. A detailed discussion of renormalisation in this approach is presented. This is necessary to extend current numerical techniques for studying strong-coupling QED to the case ...