4 citations · 4 across the 5 of their papers we have counts for
6 papers
Renormalization, cutoff, and gluing for a quartic model with boundary
A. V. Ivanov
In this paper, we study the renormalization of a three-dimensional quartic model on a compact connected Riemannian manifold with a boundary. We show that, in addition to the standa…
Renormalization aspects of the Yang-Mills theory with a cutoff
A. V. Ivanov, N. V. Kharuk
The paper discusses renormalization aspects of the quantum four-dimensional Yang-Mills theory with a cutoff regularization in the coordinate representation. The background field me…
Quasi-local probability averaging in the context of cutoff regularization
A. V. Ivanov, I. V. Korenev
In this paper, we study the properties of averaged fundamental solutions of a special type for Laplace operators in the Euclidean space of an arbitrary dimension. We consider a cla…
Three-loop functions for a quartic model with a cutoff
A. V. Ivanov, V. A. Nikiforov
This paper presents numerical values for auxiliary integrals and coefficients of the beta function in the three-loop approximation for a four-dimensional model with a quartic inter…
Three-loop singularity structure for a non-linear sigma model
P. V. Akacevich, A. V. Ivanov, I. V. Korenev
The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regulariz…
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
A. V. Ivanov, N. V. Kharuk
The paper studies the quantum action for the five-dimensional real -theory in the case of a general formulation using the background field method. The three-loop renormalizati…