41 citations · 167 across the 37 of their papers we have counts for
35 papers · 1 filter
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…
Dual Polyakov loop model at finite density: phase diagram and screening masses
Oleg Borisenko, Volodymyr Chelnokov, Emanuele Mendicelli +1
We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the…
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…
Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables
Oleg Borisenko, Volodymyr Chelnokov, Emanuele Mendicelli +1
Many Polyakov loop models can be written in a dual formulation which is free of sign problem even when a non-vanishing baryon chemical potential is introduced in the action. Here,…
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…
Three-quark potentials in an effective Polyakov loop model
O. Borisenko, V. Chelnokov, Emanuele Mendicelli +1
Three-quark potentials are studied in great details in the three-dimensional pure gauge theory at finite temperature, for the cases of static sources in the fundamental and…
BKT phase transitions in two-dimensional non-Abelian spin models
Oleg Borisenko, Volodymyr Chelnokov, Francesca Cuteri +1
It is argued that two-dimensional U(N) spin models for any N undergo a BKT-like phase transition, similarly to the famous XY model. This conclusion follows from the Berezinskii-lik…
Critical behavior and continuum scaling of lattice gauge theories
Oleg Borisenko, Volodymyr Chelnokov, Mario Gravina +1
Three-dimensional lattice gauge theories are studied numerically at finite temperature for = 5, 6, 8, 12, 13, 20 and for =2,4,8. For each model the location of phas…
Phase structure of 3D Z(N) lattice gauge theories at finite temperature: large-N and continuum limits
Oleg Borisenko, Volodymyr Chelnokov, Mario Gravina +1
We study numerically three-dimensional Z(N) lattice gauge theories at finite temperature, for N = 5, 6, 8, 12, 13 and 20 on lattices with temporal extension = 2, 4, 8. For ea…
Twist free energy and critical behavior of 3D U(1) LGT at finite temperature
O. Borisenko, V. Chelnokov
The twist free energy is computed in the Villain formulation of the 3D U(1) lattice gauge theory at finite temperature. This enables us to obtain renormalization group equations de…
Phase transitions in the three-dimensional Z(N) models
Oleg Borisenko, Volodymyr Chelnokov, Gennaro Cortese +3
Phase transitions in zero-temperature 3D Z(N) lattice gauge theories are studied. We use a cluster algorithm defined for the dual formulation of the models. We also attempt to expl…
Critical behavior of 3D Z(N) lattice gauge theories at zero temperature
O. Borisenko, V. Chelnokov, G. Cortese +3
Three-dimensional lattice gauge theories at zero temperature are studied for various values of . Using a modified phenomenological renormalization group, we explore the c…
Critical properties of 3D Z(N) lattice gauge theories at finite temperature
Oleg Borisenko, Volodymyr Chelnokov, Gennaro Cortese +3
The phase structure of three-dimensional Z(N>4) lattice gauge theories at finite temperature is investigated. Using the dual formulation of the models and a cluster algorithm we lo…
BKT phase transitions in strongly coupled 3D Z(N) LGT at finite temperature
O. Borisenko, V. Chelnokov, G. Cortese +4
We investigate, both analytically and numerically, the phase diagram of three-dimensional Z(N) lattice gauge theories at finite temperature for N > 4. These models, in the strong c…
Critical properties of 2D Z(N) vector models for N>4
Oleg Borisenko, Gennaro Cortese, Roberto Fiore +2
We investigate the critical properties of two-dimensional Z(N) vector models for N larger than 4. In particular, critical points of the two phase transitions are located and some c…
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…
Critical properties of the 2D Z(5) vector model
Oleg Borisenko, Gennaro Cortese, Roberto Fiore +2
The two-dimensional Z(5) vector model is investigated through the determination of critical points and one critical index. To this purpose a new cluster algorithm has been develope…
Critical behaviour of the compact 3d U(1) gauge theory at finite temperature
Oleg Borisenko, Roberto Fiore, Mario Gravina +1
Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures. The critical point of the deconfinement phase transition, critic…
Numerical study of the phase transitions in the two-dimensional Z(5) vector model
Oleg Borisenko, Gennaro Cortese, Roberto Fiore +2
We investigate the critical properties of the two-dimensional Z(5) vector model. For this purpose, we propose a new cluster algorithm, valid for Z(N) models with odd values of N. T…
Analytical study of low temperature phase of 3D LGT in the plaquette formulation
O. Borisenko, S. Voloshin, M. Faber
We develop an analytical approach for non-abelian gauge models within the plaquette representation where the plaquette matrices play the role of the fundamental degrees of freedom.…
On weak coupling expansion in models with unbroken symmetry
O. Borisenko
An investigation of the weak coupling region of 2D SU(N) spin models is presented. An expansion of the free energy and correlation functions at low temperatures is performed in the…
Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: a new approach
O. Borisenko, V. Kushnir, A. Velytsky
A new method of constructing a weak coupling expansion of two dimensional (2D) models with an unbroken continuous symmetry is developed. The method is based on an analogy with the…