6 citations · 13 across the 6 of their papers we have counts for
6 papers
Functorial properties of Schwinger-DeWitt expansion and Mellin-Barnes representation
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We consider integral kernels for functions of a minimal second-order differential operator on a curved spacetime. We show that they can be expanded in…
Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts
A. O. Barvinsky, A. E. Kalugin, W. Wachowski
We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the u…
Schwinger--DeWitt expansion for the heat kernel of nonminimal operators in causal theories
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We suggest a systematic calculational scheme for heat kernels of covariant nonminimal operators in causal theories whose characteristic surfaces are null with respect to a generic…
On the Caldararu and Willwacher conjectures
Alexey Kalugin
In the present paper, we study a relation between the cohomology of moduli stacks of smooth and proper curves and the cohomology of ribbon graph complexes. The m…
On Functional Hamilton-Jacobi and Schrödinger Equations and Functional Renormalization Group
M. G. Ivanov, A. E. Kalugin, A. A. Ogarkova +1
Functional Hamilton-Jacobi (HJ) equation, the central equation of the holographic renormalization group (HRG), functional Schrödinger equation, and generalized Wilson-Polchinski (W…
Nonlocal Scalar Quantum Field Theory: Functional Integration, Basis Functions Representation and Strong Coupling Expansion
M. Bernard, V. A. Guskov, M. G. Ivanov +2
Nonlocal QFT of one-component scalar field in -dimensional Euclidean spacetime is considered. The generating functional (GF) of complete Green functions as a f…