Speciality:
01.01.03 (Mathematical physics)
Keywords: Effective action, quantum action, heat kernel, proper time method, cutoff regularization in the coordinate representation, regularization by averaging, quasi-local theory, renormalization, scalar model, Yang–Mills theory, non-linear sigma model, principal chiral field model.
Subject:
The main research activities are related to the theory of generalized functions, the theory of regularization and renormalization, quantum field theory, as well as the application of the theat kernel method in various fields of quantum and classical physics. The following topics can be identified as relevant today:
1) cutoff regularization in the coordinate representation and its properties;
2) structure of singularities in various theories (scalar model, Yang–Mills theory, sigma model);
3) dependence of theory data on regularization and the renormalization process;
4) quasi-local theories and their properties.
Main publications:
A. V. Ivanov, “Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions”, J. Phys. A: Math. Theor., 58 (2025), 135401
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
A. V. Ivanov, N. V. Kharuk, “Special functions for heat kernel expansion”, Eur. Phys. J. Plus, 137 (2022), 1060
A. V. Ivanov, “Explicit Cutoff Regularization in Coordinate Representation”, J. Phys. A: Math. Theor., 45 (2022), 495401
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
