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arXiv · 1106.5528

Schwinger-Dyson equations and disorder

Adam P. Szczepaniak·Hugo Reinhardt
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Abstract

Using simple models in D=0+0 and D=0+1 dimensions we construct partition functions and compute two-point correlations. The exact result is compared with saddle-point approximation and solutions of Schwinger-Dyson equations. When integrals are dominated by more than one saddle-point we find Schwinger-Dyson equations do not reproduce the correct results unless the action is first transformed into dual variables.

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Adam P. Szczepaniak, Hugo Reinhardt. 2011-06-27. Schwinger-Dyson equations and disorder. https://doi.org/10.1103/physrevd.84.056011

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