283 citations · 4.7k across the 231 of their papers we have counts for
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Confinement Mechanism in Various Abelian Projections of Lattice Gluodynamics
M. N. Chernodub, M. I. Polikarpov, A. I. Veselov
We show that the monopole confinement mechanism in lattice gluodynamics may be a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \ri…
Monopole Order Parameter in SU(2) Lattice Gauge Theory
M. N. Chernodub, M. I. Polikarpov, A. I. Veselov
We present the results of the numerical calculation of the probability distribution of the value of the monopole creation operator in lattice gluodynamics. We work in the m…
Aharonov--Bohm Effect in the Abelian Higgs Theory
M. N. Chernodub, M. I. Polikarpov
We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of t…
Instantons and Monopoles in Maximal Abelian Projection of SU(2) Gluodynamics
M. N. Chernodub, F. V. Gubarev
We show that the instantons induce the abelian monopoles in the Maximal Abelian Projection of gluodynamics. As an example we consider the case of one instanton and the case…
Quantum Theory of Strings in Abelian Higgs Model
E. T. Akhmedov, M. N. Chernodub, M. I. Polikarpov +1
Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov--Nielsen--Olesen strings. It is shown that in four space -- time dimensions in the limit…
TOPOLOGICAL OBJECTS AND CONFINEMENT ON THE LATTICE
E. T. Akhmedov, M. N. Chernodub, M. I. Polikarpov
First we discuss various topological objects (monopoles, ``minopoles'' and ``hybrids'') which may be important for the confinement mechanism in various abelian projections. The sec…