17 research outputs found
Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory
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.Comment: Lattice2001(theorydevelop
Fermions, Gauge Theories, and the Sinc Function Representation for Feynman Diagrams
We extend our new approach for numeric evaluation of Feynman diagrams to
integrals that include fermionic and vector propagators. In this initial
discussion we begin by deriving the Sinc function representation for the
propagators of spin-1/2 and spin-1 fields and exploring their properties. We
show that the attributes of the spin-0 propagator which allowed us to derive
the Sinc function representation for scalar field Feynman integrals are shared
by fields with non-zero spin. We then investigate the application of the Sinc
function representation to simple QED diagrams, including first order
corrections to the propagators and the vertex.Comment: 10 pages, Latex, 9 figure
Alternative Numerical Techniques
Two new approaches to numerical QFT are presented.Comment: Lattice2002(theoretical), 3 page
Solvothermal reactions : an opening-up on the synthesis of novel materials or the development of new processes
During approximately the last 15 years, reactions using a liquid phase either in supercritical or subcritical conditions under high pressure and medium temperatures have been investigated in two different directons..