A Generalized Parameter Imbedding Method

Details A Generalized Parameter Imbedding Method A Generalized Parameter Imbedding Method

2001-06-18

arxiv.org/abs/math/0106145v1

Mathematics

Functional Analysis

14pages, no figure, Latex

Scientific paper

The parameter imbedding method for the Fredholm equation converts it into an
initial value problem in its parameter $\lambda$. We establish the method for
general operator equations of the form $[I + \hat{f}(\lambda)]\psi = \phi $. It
is particularly useful for studying spontaneous symmetry breaking problems,
such as contained in the nonlinear Schwinger-Dyson equation.

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