12 citations · 31 across the 8 of their papers we have counts for
8 papers
The Fredenhagen-Marcu operator in the gauge-Higgs Z(2) LGT at finite temperature
B. Allés, O. Borisenko, V. Chelnokov +1
We explore the possibility to use the Fredenhagen-Marcu operator as a candidate order parameter of the deconfinement phase transition in gauge matter systems at finite temperature.…
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…
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 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…
On bimodal size distribution of spin clusters in the one dimensional Ising model
A. I. Ivanytskyi, V. O. Chelnokov
The size distribution of geometrical spin clusters is exactly found for the one dimensional Ising model of finite extent. For the values of lattice constant above some "critica…