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Ivanov Aleksandr Valentinovich

Publications


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1. A. V. Ivanov, “An applicability condition of a cutoff regularization in the coordinate representation”, Funktsional. Anal. i Prilozhen.  mathnet  crossref

   2024
2. A. V. Ivanov, “Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization”, Nuclear Physics B, 1006 (2024), 116647 , 60 pp., arXiv: 2402.14549 (https://www.pdmi.ras.ru/preprint/2024/24-02.html)  crossref
3. A. V. Ivanov, N. V. Kharuk, “Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization”, The European Physical Journal Plus, 139 (2024), 849 , 15 pp., arXiv: 2404.07513 (https://www.pdmi.ras.ru/preprint/2024/24-05.html)  crossref
4. A. V. Ivanov, “Applicability condition of a cutoff in two-dimensional models”, Questions of quantum field theory and statistical physics. Part 30, Zap. Nauchn. Sem. POMI, 532, POMI, St. Petersburg, 2024, 153–168  mathnet
5. A. V. Ivanov, “Local heat kernel”, Questions of quantum field theory and statistical physics. Part 30, Zap. Nauchn. Sem. POMI, 532, POMI, St. Petersburg, 2024, 136–152  mathnet

   2023
6. A. V. Ivanov, N. V. Kharuk, “Three-loop divergences in effective action of $4$-dimensional Yang–Mills theory with cutoff regularization: $\Gamma_4^2$-contribution”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 162–188  mathnet
7. A. V. Ivanov, N. V. Kharuk, “Ordered Exponential and Its Features in Yang–Mills Effective Action”, Communications in Theoretical Physics, 75 (2023), 085202 , 9 pp., arXiv: 2301.10514  crossref
8. P. V. Akacevich, A. V. Ivanov, “On Two-Loop Effective Action of 2D Sigma Model”, The European Physical Journal C, 83 (2023), 653 (2023) , 8 pp., arXiv: 2304.02374  crossref

   2022
9. A. V. Ivanov, N. V. Kharuk, “Special functions for heat kernel expansion”, Eur. Phys. J. Plus, 137 (2022), 1060 , arXiv: 2106.00294  crossref  adsnasa  scopus
10. A. V. Ivanov, M. A. Kurkov, D. V. Vassilevich, “Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals”, J. Phys. A: Math. Theor., 55 (2022), 224004 , arXiv: 2111.11493  crossref  adsnasa  scopus
11. A. V. Ivanov, N. V. Kharuk, “Formula for two-loop divergent part of 4-D Yang–Mills effective action”, Eur. Phys. J. C, 82 (2022), 997 , arXiv: 2203.07131  crossref  adsnasa  scopus
12. A. V. Ivanov, D. V. Vassilevich, “Anomaly inflow for local boundary conditions”, J. High Energ. Phys., 2022 (2022), 250 , arXiv: 2208.00476  crossref  adsnasa  scopus
13. A. V. Ivanov, “Explicit Cutoff Regularization in Coordinate Representation”, J. Phys. A: Math. Theor., 55 (2022), 495401 , arXiv: 2209.01783  crossref  adsnasa

   2021
14. A. V. Ivanov, M. A. Russkikh, “Quantum field theory on the example of the simplest cubic model”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 123–152 , arXiv: 2107.14488  mathnet  adsnasa
15. A. V. Ivanov, “On Gustafson integrals for the group $\mathrm{SL}(2,\mathbb{R})$”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 113–122  mathnet
16. S. E. Derkachev, A. V. Ivanov, “Racah coefficients for the group $\mathrm{SL}(2,\mathbb{R})$”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 99–112  mathnet
17. A. V. Ivanov, “Index Theorem for Domain Walls”, J. Phys. A: Math. Theor., 54 (2021), 095203 , arXiv: 2008.02058  crossref  adsnasa  scopus

   2020
18. A. V. Ivanov, N. V. Kharuk, “Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line”, Theoret. and Math. Phys., 205:2 (2020), 1456–1472 , arXiv: 1906.04019  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2022
19. S. E. Derkachev, A. V. Ivanov, L. A. Shumilov, “Mellin–Barnes Transformation for Two-Loop Master-Diagram”, J. Math. Sci., 264:3 (2022), 298–312  mathnet  crossref  scopus

   2020
20. A. V. Ivanov, D. V. Vassilevich, “Atiyah-Patodi-Singer Index Theorem for Domain Walls”, J. Phys. A: Math. Theor., 53 (2020), 305201 , arXiv: 2003.06674  crossref  adsnasa  scopus
21. A. V. Ivanov, N. V. Kharuk, “Two-loop cutoff renormalization of 4-D Yang–Mills effective action”, J. Phys. G: Nucl. Part. Phys., 48 (2020), 015002 , arXiv: 2004.05999  crossref  adsnasa  scopus

   2019
22. A. V. Ivanov, “Diagram technique for the heat kernel of the covariant Laplace operator”, Theoret. and Math. Phys., 198:1 (2019), 100–117 , arXiv: 1905.05455  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
23. A. V. Ivanov, N. V. Kharuk, “Quantum equation of motion and two-loop cutoff renormalization for $\phi^3$ model”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 26, Zap. nauchn. sem. POMI, 487, POMI, SPb., 2019, 151–166 , arXiv: 2203.04562  mathnet; A. V. Ivanov, N. V. Kharuk, “Quantum Equation of Motion and Two-Loop Cutoff Renormalization for $\phi^3$ Model”, J. Math. Sci., 257:4 (2021), 526–536 , arXiv: 2203.04562  crossref  adsnasa  scopus
24. A. V. Ivanov, “Notes on functional integration”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 26, Zap. nauchn. sem. POMI, 487, POMI, SPb., 2019, 140–150  mathnet; A. V. Ivanov, “Notes on Functional Integration”, J. Math. Sci., 257:4 (2021), 518–525  crossref  scopus
25. A. V. Ivanov, N. V. Kharuk, “Non-recursive formula for trace of heat kernel”, 2019 Days on Diffraction (DD), IEEE, 2019, 74–77  crossref  scopus
26. A. V. Ivanov, “On the completeness of projectors for tensor product decomposition of continuous series representations groups $SL (2,\mathbb{R})$”, J. Math. Sci., 242:5 (2019), 692–700  mathnet  crossref  scopus
27. A. V. Ivanov, “On the application of matrix formalism of heat kernel to the number theory”, J. Math. Sci., 242:5 (2019), 683–691 , arXiv: 1808.08103  mathnet  crossref  adsnasa  scopus

   2018
28. A. V. Ivanov, “About renormalized effective action for the Yang–Mills theory in four-dimensional space-time”, EPJ Web Conf., 191, XXth International Seminar on High Energy Physics (QUARKS-2018) (2018), 06001 , 7 pp.  crossref  adsnasa  scopus

   2017
29. S. È. Derkachev, A. V. Ivanov, L. D. Faddeev, “Renormalization scenario for the quantum Yang–Mills theory in four-dimensional space–time”, Theoret. and Math. Phys., 192:2 (2017), 1134–1140  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2019
30. A. V. Ivanov, “About dimensional regularization in the Yang–Mills theory”, J. Math. Sci., 238:6 (2019), 862–869  mathnet  crossref  scopus

   2017
31. A. V. Ivanov, “About renormalization of the Yang–Mills theory and the approach to calculation of the heat kernel”, EPJ Web Conf., 158, The XXIII International Workshop “High Energy Physics and Quantum Field Theory” (QFTHEP 2017) (2017), 07004 , 5 pp.  crossref  scopus

   2016
32. M. I. Belishev, A. V. Ivanov, “On a calculus of variations problem”, J. Math. Sci., 214:3 (2016), 252–259 , arXiv: 1603.05874  mathnet  crossref  mathscinet  adsnasa  scopus
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