Singular Perturbations in Quantum Field Theory

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In this talk we discuss a new approximation scheme for non-perturbative calculations in a quantum field theory which is based on the fact that the Schwinger equation of a quantum field model belongs to the class of singularly perturbed equations. The self-interacting scalar field and the Gross-Neveu model are taken as the examples and some non-perturbative solutions of an equation for the propagator are found for these models. The application to QCD is also discussed.
Talk given at XVIII International Workshop on HEP and QFT in Protvino, June 26 - 30 1995 and at X International Workshop on HEP and QFT in Zvenigorod, September 20 - 26 1995. LaTex, 7 pages

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