A non-perturbative method of calculation of Green functions
| dc.creator | Rochev, V. E. | |
| dc.date | 1996-06-25 | |
| dc.date | 1997-05-15 | |
| dc.date.accessioned | 2026-07-07T10:58:45Z | |
| dc.date.available | 2026-07-07T10:58:45Z | |
| dc.description | 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-Dyson equation for the generating functional by exactly soluble equation in functional derivatives. Equations of the leading approximation and the first step are solved for $ϕ^4_d$-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 the coupling involves a trivialization of the theory. | |
| dc.description | 13 pages, Plain LaTex, no figures, some discussion of results for anharmonic oscillator and a number of references are added, final version published in Journal of Physics A | |
| dc.identifier | https://arxiv.org/abs/hep-th/9606155 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9606155 | |
| dc.identifier | J.Phys.A30:3671-3680,1997 | |
| dc.identifier | doi:10.1088/0305-4470/30/10/037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187211 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A non-perturbative method of calculation of Green functions | |
| dc.type | text |