50 citations · 96 across the 16 of their papers we have counts for
19 papers
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…
Quantum error mitigation for parametric circuits
Vasily Sazonov, Mohamed Tamaazousti
Reducing errors is critical to the application of modern quantum computers. In the current Letter, we investigate the quantum error mitigation considering parametric circuits acces…
Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmet…
Infinite lattice models by expansion with a non-Gaussian initial approximation
Aleksandr Ivanov, Vasily Sazonov
Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with…
-Ward identities for QCD with restored chiral symmetry
Vasily Sazonov
Lattice studies of QCD at temperatures above the chiral restoration and QCD with truncated low modes of the Dirac operator indicate approximate and explicit degeneracies in…
Constructive Matrix Theory for Higher Order Interaction
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
This paper provides an extension of the constructive loop vertex expansion to stable matrix models with interactions of arbitrarily high order. We introduce a new representation fo…
Convergent series for polynomial lattice models with complex actions
Vasily Sazonov
Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign pro…
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…
Dual representation for massless fermions with chemical potential and U(1) gauge fields
Christof Gattringer, Thomas Kloiber, Vasily Sazonov
Complex action problems coming from either a chemical potential or a topological term have been solved for several models in recent years by mapping them to so-called dual degrees…
Dual representation for 1+1 dimensional fermions interacting with 3+1 dimensional U(1) gauge fields
Christof Gattringer, Vasily Sazonov
We study a system of nanowires, i.e., the theory of 1+1 dimensional massless fermions interacting with 3+1 dimensional U(1) gauge fields. When allowing for non-zero chemical potent…
Convergent Perturbation Theory for the lattice -model
Vladimir V. Belokurov, Aleksandr S. Ivanov, Vasily K. Sazonov +1
The standard lattice perturbation theory leads to the asymptotic series because of the incorrect interchange of the summation and integration. However, changing the initial approxi…
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…
Solving the sign problems of the massless lattice Schwinger model with a dual formulation
Christof Gattringer, Thomas Kloiber, Vasily Sazonov
We derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbe…
Convergent perturbation theory for lattice models with fermions
V. K. Sazonov
The standard perturbation theory in QFT and lattice models leads to asymptotic expansions. However, an appropriate regularization of the path or lattice integrals allows one to con…
Effective Chiral Symmetry Restoration for Heavy-Light Mesons
V. K. Sazonov, G. Schaffernak, R. F. Wagenbrunn
We study the spectrum of heavy-light mesons within a model with linear instantaneous confining potential. The single-quark Green function and spontaneous breaking of chiral symmetr…
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…
Chiral restoration phase transition within the quarkyonic matter
L. Ya. Glozman, V. K. Sazonov, R. F. Wagenbrunn
We overview a possible mechanism for confining but chirally symmetric matter at low temperatures and large densities. As a new development we employ a diffused quark Fermi surface…
Chirally symmetric and confining dense matter with a diffused quark Fermi surface
L. Ya. Glozman, V. K. Sazonov, R. F. Wagenbrunn
It is possible that at low temperatures and large density there exists a confining matter with restored chiral symmetry, just after the dense nuclear matter with broken chiral symm…