Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory

Details Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory

2001-10-25

arxiv.org/abs/hep-lat/0110203v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(theorydevelop)

Scientific paper

10.1016/S0920-5632(01)01914-4

The Source Galerkin method finds approximate solutions to the functional differential equations of field theories in the presence of external sources. While developing this process, it was recognized that approximations of the spectral representations of the Green's functions by Sinc function expansions are an extremely powerful calculative tool. Specifically, this understanding makes it not only possible to apply the Source Galerkin method to higher dimensional field theories, but also leads to a new approach to perturbation theory calculations in scalar and fermionic field theories. This report summarizes the methodologies for solving quantum field theories with the Source Galerkin method and for performing perturbation theory calculations using Sinc approximations.

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