58 citations · 198 across the 22 of their papers we have counts for
22 papers
Number-theory renormalization of vacuum energy
M. G. Ivanov, V. A. Dudchenko, V. V. Naumov
For QFT on a lattice of dimension d>=3, the vacuum energy (both bosonic and fermionic) is zero if the Hamiltonian is a function of the square of the momentum, and the calculation o…
Ternary and Binary Representation of Coordinate and Momentum in Quantum Mechanics
M. G. Ivanov, A. Yu. Polushkin
To simulate a quantum system with continuous degrees of freedom on a quantum computer based on quantum digits, it is necessary to reduce continuous observables (primarily coordinat…
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…
Domain wall nonlinear quantization
M. G. Ivanov
The nonlinear quantization of the domain wall (relativistic membrane of codimension 1) is considered. The membrane dust equation is considered as an analogue of the Hamilton-Jacobi…
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…
A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory
V. A. Guskov, M. G. Ivanov, S. L. Ogarkov
In frames of the nonlocal and nonpolynomial quantum theory of the one component scalar field in -dimensional spacetime, stated by Gariy Vladimirovich Efimov, the expansion of th…