Persons: Ivanov, Aleksandr Valentinovich

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Ivanov, Aleksandr Valentinovich

Total publications:	28 (28)
in MathSciNet:	4 (4)
in Web of Science:	3 (3)
in Scopus:	20 (20)
Cited articles:	22
Citations:	117
Presentations:	4

Number of views:
This page:	2288
Abstract pages:	3002
Full texts:	1011
References:	350

Candidate of physico-mathematical sciences (2021)

Speciality:

01.01.03 (Mathematical physics)

Keywords:

Effective action, heat kernel, cutoff regularization, renormalization, Yang-Mills theory

Subject:

The main research topics are related to the heat kernel method in quantum and classical field theory and renormalization theory. The most interesting theme is the quantum theory of Yang-Mills in the four-dimensional space-time.

https://www.mathnet.ru/eng/person106406

List of publications on Google Scholar

List of publications on ZentralBlatt

https://orcid.org/0000-0002-4582-4471

https://www.scopus.com/authid/detail.url?authorId=57198676362

https://www.researchgate.net/profile/Aleksandr-Ivanov-3

https://arxiv.org/a/ivanov_a_2

Full list of publications:

scientific publications

by years

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common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	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
2.	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
3.	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
4.	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	9 ^[x]
5.	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	8 ^[x]
6.	A. V. Ivanov, N. V. Kharuk, “Special functions for heat kernel expansion”, Eur. Phys. J. Plus, 137 (2022), 1060 , arXiv: 2106.00294	6 ^[x]
7.	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	6 ^[x]
8.	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.	6 ^[x]
9.	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	4 ^[x]
10.	A. V. Ivanov, “Explicit Cutoff Regularization in Coordinate Representation”, J. Phys. A: Math. Theor., 55 (2022), 495401 , arXiv: 2209.01783	4 ^[x]
11.	A. V. Ivanov, N. V. Kharuk, “Non-recursive formula for trace of heat kernel”, 2019 Days on Diffraction (DD), IEEE, 2019, 74–77	4 ^[x]
12.	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
13.	A. V. Ivanov, “About dimensional regularization in the Yang–Mills theory”, J. Math. Sci., 238:6 (2019), 862–869
14.	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	3 ^[x]
15.	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	3 ^[x]
16.	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.	3 ^[x]
17.	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	2 ^[x]
18.	A. V. Ivanov, D. V. Vassilevich, “Anomaly inflow for local boundary conditions”, J. High Energ. Phys., 2022 (2022), 250 , arXiv: 2208.00476	2 ^[x]
19.	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
20.	A. V. Ivanov, “Index Theorem for Domain Walls”, J. Phys. A: Math. Theor., 54 (2021), 095203 , arXiv: 2008.02058	1 ^[x]
21.	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	1 ^[x]
22.	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
23.	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
24.	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
25.	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
26.	M. I. Belishev, A. V. Ivanov, “On a calculus of variations problem”, J. Math. Sci., 214:3 (2016), 252–259 , arXiv: 1603.05874
27.	A. V. Ivanov, “An applicability condition of a cutoff regularization in the coordinate representation”, Funktsional. Anal. i Prilozhen. (to appear)
28.	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

Presentations in Math-Net.Ru

1.	On a cutoff regularization in the coordinate representation A. V. Ivanov Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev May 31, 2024 17:30
2.	Ordered exponential and its features in Yang–Mills effective action N. V. Kharuk, A. V. Ivanov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 15:35
3.	Local heat kernel: construction and properties A. V. Ivanov One-Parameter Semigroups of Operators (OPSO 2023) February 27, 2023 13:50
4.	Yang-Mills theory: historical review and basic concepts A. V. Ivanov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences April 7, 2022 13:00

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