arXiv subjects

I. Kudrov

Publications and source records attributed to I. Kudrov.

6 recordsLinked to original sources

arXiv2026

New results on gauge field decomposition in SU(3) gluodynamics

We study decomposition of the nonabelian gauge field into the Abelian component created by Abelian monopoles and the modified nonabelian components with monopoles removed after fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics. We compute the static potential V (r) for the original gauge field and for its components V_mon and V_mod at two values of the lattice spacing. We confirm that with optimal gauge fixing the sum V_mon + V_mod deviates substantially from V(r). We show that this decomposition of the static potential is satisfied with good precision at all distances when we use another set of Gribov copies.

hep-lat↗

arXiv2025

On the angular momentum and free energy of rotating gluon plasma

We study the free energy and the angular momentum of rotating hot gluon matter using first-principle numerical simulations of the $\textrm{SU}(3)$ lattice Yang-Mills theory. We calculate the specific moment of inertia and the specific deformation of the gluon matter as, respectively, the leading and next-to-leading terms in a series in angular velocity over a broad range of temperatures and various spatial boundary conditions. We show that the specific deformation, similarly to the moment of inertia, takes negative values in a phenomenologically interesting region of temperatures above the phase transition and turns positive at higher temperatures.

hep-lat↗

arXiv2025

Decomposition of the static potential in SU(3) gluodynamics

After fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics we decompose the nonabelian gauge field into the Abelian field created by Abelian monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static potentials in the fundamental representation and show that the sum of these potentials approximates the nonabelian static potential with good precision at all distances considered. Comparison with other ways of decomposition is made.

hep-lat↗

arXiv2025

Abelian and monopole dominance in SU(3) gluodynamics and Gribov copy effects

We continue our study of the Gribov copies effrcts in the Maximal Abelian gauge in lattice $SU(3)$ gluodynamics. Our computations were completed for four values of the lattice spacing with physical lattice size $L \approx 2$ fm. It is demonstrated that when one uses the effective simulated annealing algorithm to fix the gauge the obtained Gribov copies produce low abelian string tension which is below 90% of the physical value independent of the lattice spacing. These Gribov copies produce also low value (about 86%) for the monopole string tension. It is further shown that in case of less effective relaxation algorithm it is possible to obtain Gribov copies which produce both Abelian and monopole string tension in good agreement with the physical one.

hep-lat↗

arXiv2022

Decomposition of the static potential in the Maximal Abelian gauge

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero quark chemical potential. The interaction potential between static charges is calculated for each component and their sum is compared with the non-Abelian static potential. A good agreement is found in the confinement phase. Implications of this result are discussed.

hep-lat↗

arXiv2021

Decomposition of the SU(2) gauge field in the Maximal Abelian gauge

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static potentialis and show that the potential due to the modified nonabelian field is nonconfining while, as is well known, the Abelian field produces linear potential. We further find that the sum of these potentials approximates the nonabelian static potential with good precision at all distances considered. We conclude that at large distances the monopole field potential describes the classical energy of the hadronic string while the static potential due to the modified nonabelian field describes the string fluctuations energy.

hep-lat↗