Solving Schwinger-Dyson equations by truncation in zero-dimensional scalar quantum field theory

Anna Okopińska
Phys. Rev. D 43, 3561 – Published 15 May 1991
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Abstract

Three sets of Schwinger-Dyson equations, for all Green's functions, for connected Green's functions, and for proper vertices, are considered in scalar quantum field theory. A truncation scheme applied to the three sets gives three different approximation series for Green's functions. For the theory in zero-dimensional space-time the results for respective two-point Green's functions are compared with the exact value calculated numerically. The best convergence of the truncation scheme is obtained for the case of proper vertices.

  • Received 6 September 1990

DOI:https://doi.org/10.1103/PhysRevD.43.3561

©1991 American Physical Society

Authors & Affiliations

Anna Okopińska

  • Institute of Physics, Warsaw University, Białystok Branch, 15-424 Białystok, Lipowa 41, Poland

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Issue

Vol. 43, Iss. 10 — 15 May 1991

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