IHEP 98 - 40 (In Russian)
	V.E. Rochev
	On Nonperturbative Calculations in Quantum Electrodynamics
	Protvino, 1999.-p.31, refs.:28.

A new approach to nonperturbative calculations in quantum electrodinamics is proposed. The approach is based on a regular iteration scheme for solution of Schwinger-Dyson equations for generation functional of Green functions. The approach allows one to take into account the gauge invariance conditions (Ward identities) and to perform the renormalization program. The iteration scheme can be realized in two versions. The first one (``perturbative vacuum") corresponds to chain summation in the diagram landguage. In this version in four-dimensional theory the non-physical singularity (Landau pole) arises which heads to the triviality of the renormalized theory. The second version (``nonperturbative vacuum") corresponds to ladder summation and permits one to make nonperturbative calculations of physical quantities in spite of the triviality problem. For chiral-symmetrical leading approximation two terms of the expansion of the first-step vertex function over photon momentum are calculated. A formula for anomalous magnetic moment is obtained. A problem of dynamical chiral symmetry breaking (DCSB) is considered, the calculations are performed for renormalized theory in Minkowsky space. In the strong coupling region DCSB-solutions arise. For the renormalized theory a DCSB-solution is also possibile in the weak coupling region but with a subsidiary condition on the value of $\alpha$.

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