50 citations · 96 across the 16 of their papers we have counts for
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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…
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…
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…
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…