21 citations · 58 across the 5 of their papers we have counts for
5 papers
Index Theorem for Domain Walls
A. V. Ivanov
The paper is devoted to the discussion of index theorem for domain walls condition. We give an extension of the theorem to the case, when not only Yang-Mills connection components…
Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
A. V. Ivanov, N. V. Kharuk
In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization proce…
Heat kernel: proper time method, Fock-Schwinger gauge, path integral representation, and Wilson line
A. V. Ivanov, N. V. Kharuk
The proper time method plays an important role in modern mathematics and physics. It includes many approaches, each of which has its pros and cons. This work is devoted to the desc…
Diagram technique for the heat kernel of the covariant Laplace operator
A. V. Ivanov
We present a diagram technique used to calculate the Seeley-DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to constru…
On a calculus of variations problem
Mikhail I. Belishev, Aleksandr V. Ivanov
The paper is of scientific-methodical character. The classical soap film shape (minimal surface) problem is considered, the film being stretched between two parallel coaxial rings.…