50 citations · 96 across the 16 of their papers we have counts for
5 papers · 1 filter
Jacobian conjecture: coloring Abdesselam-Rivasseau model
Vasily Sazonov
We consider the Abdesselam-Rivasseau (AR) model turning the Jacobian Conjecture (JC) into a problem of the perturbative quantum field theory. Within the AR model, the JC inverse ma…
Large-N dynamics of the spiked tensor model with random initial conditions
Vasily Sazonov
In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor mo…
Convergent series for lattice models with polynomial interactions
Aleksandr S. Ivanov, Vasily K. Sazonov
The standard perturbative weak-coupling expansions in lattice models are asymptotic. The reason for this is hidden in the incorrect interchange of the summation and integration. Ho…
Convergent series for QCD
V. K. Sazonov
We present the construction of the convergent series for Quantum Chromodynamics in the Euclidean space. Applying the bosonization, we rewrite QCD as the five-dimensional bosonic ve…
How Chiral Symmetry Breaking Affects the Spectrum of the Light-Heavy Mesons in the 't Hooft Model
L. Ya. Glozman, V. K. Sazonov, M. Shifman +1
We find the spectrum and wave functions of the heavy-light mesons in -dimensional QCD in the 't Hooft limit, both in the rest frame, using the Coulomb (axial) gauge, and o…