14 citations · 53 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…