Standard

The 0D quantum field theory: Multiple integrals via background field formalism. / Bagaev, Aleksei A.; Pis'mak, Yuri M.

Days on Diffraction 2016: Proceedings of the International Conference . Institute of Electrical and Electronics Engineers Inc., 2016. p. 41-45.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Bagaev, AA & Pis'mak, YM 2016, The 0D quantum field theory: Multiple integrals via background field formalism. in Days on Diffraction 2016: Proceedings of the International Conference . Institute of Electrical and Electronics Engineers Inc., pp. 41-45, 2016 International Conference Days on Diffraction, DD 2016, St. Petersburg, Russian Federation, 27/06/16. https://doi.org/10.1109/DD.2016.7756810

APA

Bagaev, A. A., & Pis'mak, Y. M. (2016). The 0D quantum field theory: Multiple integrals via background field formalism. In Days on Diffraction 2016: Proceedings of the International Conference (pp. 41-45). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2016.7756810

Vancouver

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

Author

Bagaev, Aleksei A. ; Pis'mak, Yuri M. / The 0D quantum field theory: Multiple integrals via background field formalism. Days on Diffraction 2016: Proceedings of the International Conference . Institute of Electrical and Electronics Engineers Inc., 2016. pp. 41-45

BibTeX

@inproceedings{6d1a75b2ceee4330acc500d6d9400111,
title = "The 0D quantum field theory: Multiple integrals via background field formalism",
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.",
keywords = "background field formalism, $\phi^4$ model, diagram technics, asymptotic series",
author = "Bagaev, {Aleksei A.} and Pis'mak, {Yuri M.}",
year = "2016",
doi = "10.1109/DD.2016.7756810",
language = "English",
isbn = "9781509058013",
pages = "41--45",
booktitle = "Days on Diffraction 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2016 International Conference Days on Diffraction, DD 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

}

RIS

TY - GEN

T1 - The 0D quantum field theory: Multiple integrals via background field formalism

AU - Bagaev, Aleksei A.

AU - Pis'mak, Yuri M.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - background field formalism

KW - $\phi^4$ model

KW - diagram technics

KW - asymptotic series

UR - https://ieeexplore.ieee.org/document/7756810/

U2 - 10.1109/DD.2016.7756810

DO - 10.1109/DD.2016.7756810

M3 - Conference contribution

SN - 9781509058013

SP - 41

EP - 45

BT - Days on Diffraction 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 International Conference Days on Diffraction, DD 2016

Y2 - 27 June 2016 through 1 July 2016

ER -

ID: 7595027