V. V. Belokurov, Yu. P. Solov'ev, E. T. Shavgulidze, “Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory”, TMF, 109:1 (1996), 60–69; Theoret. and Math. Phys., 109:1 (1996), 1294

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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 60–69
DOI: https://doi.org/10.4213/tmf1211 (Mi tmf1211)

This article is cited in 14 scientific papers (total in 15 papers)

Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory

V. V. Belokurov^a, Yu. P. Solov'ev^a, E. T. Shavgulidze^b

^a M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (199 kB) Citations (15)

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DOI: https://doi.org/10.4213/tmf1211

Abstract: We establish a method of approximate calculating path integrals, proposed in our previous paper, for the case where the Gaussian measure is given by an operator of trace class.

Received: 11.09.1995

English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1294–1301
DOI: https://doi.org/10.1007/BF02069888

Bibliographic databases:

Language: Russian

Citation: V. V. Belokurov, Yu. P. Solov'ev, E. T. Shavgulidze, “Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory”, TMF, 109:1 (1996), 60–69; Theoret. and Math. Phys., 109:1 (1996), 1294–1301

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf1211

https://doi.org/10.4213/tmf1211

https://www.mathnet.ru/eng/tmf/v109/i1/p60

Cycle of papers

Method of approximate calculating path integrals by using perturbation theory with convergent series. I
V. V. Belokurov, Yu. P. Solov'ev, E. T. Shavgulidze
TMF, 1996, 109:1, 51–59
Method of approximate calculating path integrals by using perturbation theory with convergent series. II. Euclidean quantum field theory
V. V. Belokurov, Yu. P. Solov'ev, E. T. Shavgulidze
TMF, 1996, 109:1, 60–69

This publication is cited in the following 15 articles:

Nikita A. Ignatyuk, Stanislav L. Ogarkov, Daniel V. Skliannyi, “Nonlocal Fractional Quantum Field Theory and Converging Perturbation Series”, Symmetry, 15:10 (2023), 1823
Guskov V.A. Ivanov M.G. Ogarkov S.L., “A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory”, Phys. Part. Nuclei, 52:3 (2021), 420–437
Sazonov V., “Convergent Series For Polynomial Lattice Models With Complex Actions”, Mod. Phys. Lett. A, 34:30 (2019), 1950243
Matthew Bernard, Vladislav A. Guskov, Mikhail G. Ivanov, Alexey E. Kalugin, Stanislav L. Ogarkov, “Nonlocal Scalar Quantum Field Theory—Functional Integration, Basis Functions Representation and Strong Coupling Expansion”, Particles, 2:3 (2019), 385
Ivan Chebotarev, Vladislav Guskov, Stanislav Ogarkov, Matthew Bernard, “S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation”, Particles, 2:1 (2019), 103
Ivanov A.S., Sazonov V.K., “Convergent series for lattice models with polynomial interactions”, Nucl. Phys. B, 914 (2017), 43–61
Sazonov V.K., “Convergent perturbation theory for lattice models with fermions”, Int. J. Mod. Phys. A, 31:13 (2016), 1650072
V. V. Belokurov, E. T. Shavgulidze, “Nonlinear nonlocal substitutions in functional integrals”, J. Math. Sci., 248:5 (2020), 544–552
“Introduction”, Mathematical Theory of Feynman Path Integrals: An Introduction, 523 (2008), 1
Albeverio, S, “Generalized Fresnel integrals”, Bulletin Des Sciences Mathematiques, 129:1 (2005), 1
V. V. Belokurov, A. A. Egorov, A. S. Mishchenko, F. Yu. Popelenskii, V. A. Sadovnichii, E. V. Troitskii, A. T. Fomenko, E. T. Shavgulidze, “Yurii Petrovich Solov'ev (obituary)”, Russian Math. Surveys, 59:5 (2004), 941–947
Belokurov, VV, “New perturbation theory for quantum field theory: Convergent series instead of asymptotic expansions”, Acta Applicandae Mathematicae, 68:1–3 (2001), 71
Grosche, C, “Handbook of Feynman path integrals - Introduction”, Handbook of Feynman Path Integrals, 145 (1998), 1
V. V. Belokurov, Yu. P. Solov'ev, E. T. Shavgulidze, “Perturbation theory with convergent series for functional integrals with respect to the Feynman measure”, Russian Math. Surveys, 52:2 (1997), 392–393
Belokurov, VV, “Perturbation theory with convergent series for arbitrary values of coupling constant”, Modern Physics Letters A, 12:10 (1997), 661

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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