137 citations · 449 across the 21 of their papers we have counts for
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Confining fields in lattice SU(2)
V. I. Zakharov
We review some difficulties of the standard picture of confining fields which are viewed usually as `mild', or quasiclassical field configurations. The paradoxes are naturally reso…
Hints on dual variables from the lattice SU(2) gluodynamics
V. I. Zakharov
In many cases, topological excitations become fundamental variables in a dual formulation of the theory. Assuming this is true in case of SU(2) gluodynamics, we look for hints on t…
Non-perturbative match of ultraviolet renormalon
V. I. Zakharov
The paper is motivated by observation of a kind of branes in the vacuum state of the lattice SU(2) gluodynamics. The branes represent two-dimensional vortices whose total area scal…
Interplay of Monopoles and P-Vortices
A. V. Kovalenko, M. I. Polikarpov, S. N. Syritsyn +1
We show that P-Vortices in the confinement phase of SU(2) lattice gauge theory form one large percolating (infrared) cluster and a number of small (ultraviolet) clusters. We discus…
Geometry of the monopole clusters at different scales
V. G. Bornyakov, P. Yu. Boyko, M. I. Polikarpov +1
We present results of measurements of various geometrical characteristics of the monopole clusters in the maximally Abelian projection of SU(2) lattice gauge theory. We observe sca…
Fine Tuning in Lattice SU(2) Gluodynamics vs Continuum-Theory Constraints
V. I. Zakharov
Recently, it has been observed that the non-Abelian action associated with lattice monopoles and vortices is ultraviolet divergent, at least at presently available lattices. On the…