14 citations · 53 across the 7 of their papers we have counts for
7 papers
Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
A. V. Ivanov
The paper studies a regularization of the quantum (effective) action for a scalar field theory in a general position on a compact smooth Riemannian manifold. As the main method, we…
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
A. V. Ivanov
The paper studies the quantum action for the four-dimensional real -theory in the case of a general formulation using the background field method. The three-loop renormalizati…
On Local Heat Kernel
A. V. Ivanov
The paper is devoted to a local heat kernel, which is a special part of the standard heat kernel. Locality means that all considerations are produced in an open convex set of a smo…
Ordered Exponential and Its Features in Yang-Mills Effective Action
A. V. Ivanov, N. V. Kharuk
In this paper we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study a dependence of the four-dimensi…
Explicit Cutoff Regularization in Coordinate Representation
A. V. Ivanov
In this paper, we study a special type of cutoff regularization in the coordinate representation. We show how this approach unites such concepts and properties as an explicit cut,…
Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
A. V. Ivanov, M. A. Kurkov, D. V. Vassilevich
Being motivated by applications to the physics of Weyl semimetals we study spectral geometry of Dirac operator with an abelian gauge field and an axial vector field. We impose chir…
Atiyah-Patodi-Singer Index Theorem for Domain Walls
A. V. Ivanov, D. V. Vassilevich
We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall. The latter is defined as a co-dimension one submanifold where the connection ju…