12 citations · 34 across the 12 of their papers we have counts for
13 papers
Differential Recursions, Projective Discriminants, and Algebraic Generating Functions
S. Voloshyn
We study two hierarchies of bivariate generating functions defined by differential recursions: a self-dual hierarchy and a reduced-symmetry hierarchy. Their rational coefficient fu…
L-RAG: Balancing Context and Retrieval with Entropy-Based Lazy Loading
Sergii Voloshyn
Retrieval-Augmented Generation (RAG) has emerged as the predominant paradigm for grounding Large Language Model outputs in factual knowledge, effectively mitigating hallucinations.…
Polyakov loop model with exact static quark determinant in the 't Hooft-Veneziano limit: SU(N) case
Sergii Voloshyn
We construct an exact solution of the -dimensional Polyakov loop model with the exact static quark determinant at finite temperature and non-zero baryon chemical potenti…
Polyakov loop model with exact static quark determinant in the 't Hooft-Veneziano limit: U(N) case
S. Voloshyn
I investigate a -dimensional Polyakov loop model that includes the exact static determinant with degenerate quark flavor and depends explicitly on the quark mass an…
One-dimensional QCD at finite density and its 't Hooft-Veneziano limit
O. Borisenko, V. Chelnokov, S. Voloshyn +1
An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups for all values…
The Polyakov loop models in the large N limit: Correlation function and screening masses
O. Borisenko, V. Chelnokov, S. Voloshyn
We explore the 't Hooft-Veneziano limit of the Polyakov loop models at finite baryon chemical potential. Using methods developed by us earlier we calculate the two- and -point c…
Lattice gauge theories in the strong coupling and static limits as a sign-problem-free Ising model
B. Allés, O. Borisenko, A. Papa +1
The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dime…
Duals of lattice Abelian models with static determinant at finite density
O. Borisenko, V. Chelnokov, S. Voloshyn +1
Dual formulations of Abelian U(1) and Z(N) LGT with a static fermion determinant are constructed at finite temperatures and non-zero chemical potential. The dual form is valid for…
The Polyakov loop models in the large N limit: Phase diagram at finite density
O. Borisenko, V. Chelnokov, S. Voloshyn
The 't Hooft-Veneziano limit of various U(N) and SU(N) Polyakov loop models is constructed at finite temperature and non-zero baryon chemical potential. In this paper we calculate…
The large N limit of SU(N) integrals in lattice models
O. Borisenko, V. Chelnokov, S. Voloshyn
The standard U(N) and SU(N) integrals are calculated in the large N limit. Our main finding is that for an important class of integrals this limit is different for two groups. We d…
Dual formulations of Polyakov loop lattice models
O. Borisenko, V. Chelnokov, S. Voloshyn
Dual representations are constructed for non-abelian lattice spin models with U(N) and SU(N) symmetry groups, for all N and in any dimension. These models are usually related to th…
SU(N) polynomial integrals and some applications
O. Borisenko, S. Voloshyn, V. Chelnokov
We use the method of the Weingarten functions to evaluate SU(N) integrals of the polynomial type. As an application we calculate various one-link integrals for lattice gauge and sp…
Monopoles in the Plaquette Formulation of the 3D SU(2) Lattice Gauge Theory
O. Borisenko, S. Voloshyn, J. Boháčik
Using a plaquette formulation for lattice gauge models we describe monopoles of the three dimensional SU(2) theory which appear as configurations in the complete axial gauge and vi…