97 citations · 754 across the 54 of their papers we have counts for
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Studies of Correlations in the Critical Domain of the Gluodynamics
R. N. Rogalyov, V. G. Bornyakov, N. V. Gerasimeniuk +2
By considering the example of gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and relate…
Correlations and Critical Behavior in Lattice Gluodynamics
V. G. Bornyakov, V. A. Goy, E. A. Kozlovsky +2
In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the gluon condensate as we…
The Asymmetry and Gluon Propagators in Lattice Gluodynamics at
V. G. Bornyakov, V. A. Goy, V. K. Mitrjushkin +1
We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the infrared behavior of the gluon propagators at $T\simeq T…
The Asymmetry and Longitudinal Propagator in Lattice Gluodynamics at
V. G. Bornyakov, V. V. Bryzgalov, V. K. Mitrjushkin +1
We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the longitudinal gluon propagator at in the Landau-g…
The asymmetry and propagators in lattice gluodynamics at
V. G. Bornyakov, V. K. Mitrjushkin, R. N. Rogalyov
We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the transverse and longitudinal gluon propagators at …
Study of thermal monopoles in lattice QCD
V. G. Bornyakov, A. G. Kononenko, V. K. Mitrjushkin
The properties of the thermal Abelian color-magnetic monopoles in the maximally Abelian gauge are studied in the vicinity of the confinement-deconfinement phase transition in the l…
Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
V. G. Bornyakov, V. K. Mitrjushkin, R. N. Rogalyov
We study the Landau gauge gluon propagator D(p) in the 3d SU(2) lattice gauge theory. We show that in the infinite-volume limit the expectation values over the Gribov region Ω, are…
Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
V. G. Bornyakov, E. -M. Ilgenfritz, B. V. Martemyanov +2
Gluodynamics and two-flavor QCD at non-zero temperature are studied with the so-called overimproved cooling technique under which caloron solutions may remain stable. We consider t…
Landau gauge ghost propagator and running coupling in SU(2) lattice gauge theory
V. G. Bornyakov, E. -M. Ilgenfritz, C. Litwinski +2
We study finite (physical) volume and scaling violation effects of the Landau gauge ghost propagator as well as of the running coupling in the lattice gauge theory…
Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies
V. G. Bornyakov, V. K. Mitrjushkin, R. N. Rogalyov
Infrared behavior of the Landau gauge gluon propagators is studied numerically in the 3d SU(2) gauge theory on the lattice. A special accent is made on the study of Gribov copy eff…
Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
R. Aouane, V. Bornyakov, E. -M. Ilgenfritz +3
The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6…
Lattice QCD gluon propagators near transition temperature
V. G. Bornyakov, V. K. Mitrjushkin
Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors using efficient gauge fixing techniqu…
SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
V. G. Bornyakov, V. K. Mitrjushkin
We study numerically the SU(2) Landau gauge transverse and longitudinal gluon propagators at non-zero temperatures T both in confinement and deconfinement phases. The special atten…
SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
V. G. Bornyakov, V. K. Mitrjushkin, M. Müller-Preussker
We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the SU(2) Landau gauge gluon propagator on the lattice. Our physical lat…
Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
V. G. Bornyakov, V. K. Mitrjushkin, M. Müller--Preussker
For SU(2) lattice gauge theory we study numerically the infrared behavior of the Landau gauge ghost and gluon propagators with the special accent on the Gribov copy dependence. App…
Lattice results on gluon and ghost propagators in Landau gauge
I. L. Bogolubsky, V. G. Bornyakov, G. Burgio +3
We present clear evidence of strong effects of Gribov copies in Landau gauge gluon and ghost propagators computed on the lattice at small momenta by employing a new approach to Lan…
The Landau gauge gluon propagator: Gribov problem and finite-size effects
I. L. Bogolubsky, V. G. Bornyakov, G. Burgio +4
The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge fun…
Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
I. L. Bogolubsky, V. G. Bornyakov, G. Burgio +3
For the gluon propagator of pure SU(2) lattice gauge theory in the Landau gauge we investigate the effect of Gribov copies and finite-volume effects. Concerning gauge fixing, we en…
Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisited
I. L. Bogolubsky, G. Burgio, V. K. Mitrjushkin +1
We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the f…
On practical problems to compute the ghost propagator in SU(2) lattice gauge theory
T. D. Bakeev, E. -M. Ilgenfritz, V. K. Mitrjushkin +1
In SU(2) lattice pure gauge theory we study numerically the dependence of the ghost propagator G(p) on the choice of Gribov copies in Lorentz (or Landau) gauge. We find that the ef…
On the gauge dependence of the singlet and adjoint potentials
V. A. Belavin, V. G. Bornyakov, V. K. Mitrjushkin
We study gauge dependence of the recently suggested definition of the singlet and adjoint potentials in SU(2) lattice gauge theory. We find that in the (time local) maximal tree ax…
Currents, chemical potential and boundary conditions in lattice QCD
V. K. Mitrjushkin
A connection between the operator fermionic currents $\hatJ$ and corresponding `Grassmannian' currents in the functional integral formalism is studied. The QCD action with non-…
Transfer matrix and nonperturbative renormalization of fermionic currents in lattice QCD
V. K. Mitrjushkin
The functional integral representation for fermionic observables on the lattice is studied. In particular, Grassmannian representations of the scalar $\hatJ^{(S)}$ and pseudoscalar…
Gluon propagators and the choice of the gauge field in SU(2) theory on the lattice
I. L. Bogolubsky, V. K. Mitrjushkin
We study numerically magnetic and electric gluon propagators and their dependence on the choice of the lattice gauge field $\caa_{xμ}$ in SU(2) gauge theory, espe…