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 2025 |
| 1. |
Aleksandr Ivanov, “An applicability condition of a cutoff regularization in the coordinate representation”, Funct. Anal. Appl., 59:1 (2025), 3–12      |
| 2. |
A. V. Ivanov, “Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions”, J. Phys. A: Math. Theor., 58 (2025), 135401 , arXiv: 2411.13857 (http://www.pdmi.ras.ru/preprint/2024/24-11.html) |
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| 2024 |
| 3. |
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) |
| 4. |
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) |
| 5. |
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 |
| 6. |
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 |
| 7. |
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”, J. Math. Sci. (N. Y.), 284:5 (2024), 681–699 |
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| 2023 |
| 8. |
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 |
| 9. |
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 |
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| 2022 |
| 10. |
A. V. Ivanov, N. V. Kharuk, “Special functions for heat kernel expansion”, Eur. Phys. J. Plus, 137 (2022), 1060 , arXiv: 2106.00294  |
| 11. |
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 |
| 12. |
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 |
| 13. |
A. V. Ivanov, D. V. Vassilevich, “Anomaly inflow for local boundary conditions”, J. High Energ. Phys., 2022 (2022), 250 , arXiv: 2208.00476 |
| 14. |
A. V. Ivanov, “Explicit Cutoff Regularization in Coordinate Representation”, J. Phys. A: Math. Theor., 55 (2022), 495401 , arXiv: 2209.01783 |
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| 2021 |
| 15. |
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 |
| 16. |
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 |
| 17. |
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 |
| 18. |
A. V. Ivanov, “Index Theorem for Domain Walls”, J. Phys. A: Math. Theor., 54 (2021), 095203 , arXiv: 2008.02058 |
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| 2020 |
| 19. |
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  |
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| 2022 |
| 20. |
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 |
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| 2020 |
| 21. |
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 |
| 22. |
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 |
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| 2019 |
| 23. |
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 |
| 24. |
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 ; 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 |
| 25. |
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 ; A. V. Ivanov, “Notes on Functional Integration”, J. Math. Sci., 257:4 (2021), 518–525 |
| 26. |
A. V. Ivanov, N. V. Kharuk, “Non-recursive formula for trace of heat kernel”, 2019 Days on Diffraction (DD), IEEE, 2019, 74–77 |
| 27. |
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 |
| 28. |
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 |
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| 2018 |
| 29. |
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. |
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| 2017 |
| 30. |
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 |
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| 2019 |
| 31. |
A. V. Ivanov, “On dimensional regularization on an example from Yang–Mills theory”, J. Math. Sci., 238:6 (2019), 862–869 |
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| 2017 |
| 32. |
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. |
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| 2016 |
| 33. |
M. I. Belishev, A. V. Ivanov, “On a calculus of variations problem”, J. Math. Sci., 214:3 (2016), 252–259 , arXiv: 1603.05874 |
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