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math-ph2023★ 16 cited
Dyson-Schwinger equations in zero dimensions and polynomial approximations
Carl M. Bender, Christos Karapoulitidis, S. P. Klevansky
The Dyson-Schwinger (DS) equations for a quantum field theory in -dimensional space-time are an infinite sequence of coupled integro-differential equations that are satisfied ex…
math-ph2022★ 23 cited
Underdetermined Dyson-Schwinger equations
Carl M. Bender, Christos Karapoulitidis, S. P. Klevansky
This paper examines the effectiveness of the Dyson-Schwinger (DS) equations as a calculational tool in quantum field theory. The DS equations are an infinite sequence of coupled eq…