# The 0D quantum field theory: Multiple integrals via background field formalism

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

### Выдержка

A variant of 0D quantum field theory'' alternative of random matrices is proposed. The Feynman's path integrals are directly replaced by usual multiple Riemannian ones over finite-dimensional real Euclidean space. In this scheme we realized L. D. Faddeev's version of background field formalism. As an example the $\varphi^4$ model is discussed. Necessary Feynman diagram technics is constructed. If diagrams in each order of the perturbation theory (or the loop expansion) are calculated, so, we have an asymptotic series for S-matrix generating functional. We suppose that the method will help calculate asymptotic expansions for special kind of integrals.
Язык оригинала английский Proceedings of the International Conference Days on Diffraction 2016 Institute of Electrical and Electronics Engineers Inc. 41--45 978-1-5090-5800-6 https://doi.org/10.1109/DD.2016.7756810 Опубликовано - 2016

### Цитировать

Bagaev, A. A., & Pis'mak, Y. M. (2016). The 0D quantum field theory: Multiple integrals via background field formalism. В Proceedings of the International Conference Days on Diffraction 2016 (стр. 41--45). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2016.7756810
Bagaev, Aleksei A. ; Pis'mak, Yuri M. / The 0D quantum field theory: Multiple integrals via background field formalism. Proceedings of the International Conference Days on Diffraction 2016. Institute of Electrical and Electronics Engineers Inc., 2016. стр. 41--45
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abstract = "A variant of 0D quantum field theory'' alternative of random matrices is proposed. The Feynman's path integrals are directly replaced by usual multiple Riemannian ones over finite-dimensional real Euclidean space. In this scheme we realized L. D. Faddeev's version of background field formalism. As an example the $\varphi^4$ model is discussed. Necessary Feynman diagram technics is constructed. If diagrams in each order of the perturbation theory (or the loop expansion) are calculated, so, we have an asymptotic series for S-matrix generating functional. We suppose that the method will help calculate asymptotic expansions for special kind of integrals.",
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Bagaev, AA & Pis'mak, YM 2016, The 0D quantum field theory: Multiple integrals via background field formalism. в Proceedings of the International Conference Days on Diffraction 2016. Institute of Electrical and Electronics Engineers Inc., стр. 41--45. https://doi.org/10.1109/DD.2016.7756810
Proceedings of the International Conference Days on Diffraction 2016. Institute of Electrical and Electronics Engineers Inc., 2016. стр. 41--45.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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Bagaev AA, Pis'mak YM. The 0D quantum field theory: Multiple integrals via background field formalism. В Proceedings of the International Conference Days on Diffraction 2016. Institute of Electrical and Electronics Engineers Inc. 2016. стр. 41--45 https://doi.org/10.1109/DD.2016.7756810