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IHEP 96 - 34
(in Russian) | |
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| V.E. Rochev | ||
| A Non-Perturbative Method of Calculation of Green Functions | ||
| Protvino, 1996.- p.10, refs.:4. | ||
A new method for non-perturbative calculation of Green functions in quantum mechanics and quantum field theory is proposed. The method is based on an approximation of Schwinger equation for the generating functional by exactly soluble equation in functional derivatives. Equations of the leading approximation and the first step are solved for the $\phi^4_d$-model. At $d=1$ (anharmonic oscillator) the ground state energy is calculated. The renormalization program is performed for the field theory at $d=2,3$. At $d=4$ the renormalization of coupling constant involves a trivialization of the theory
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