arXiv subjects

Dmitri Antonov

Publications and source records attributed to Dmitri Antonov.

43 records · Page 3Linked to original sources

arXiv1999

Monopole-like Excitations as a Source of Confinement in the SU(2)-Gluodynamics

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The resulting effective theory emerges due to the summation over the grand canonical ensemble of these excitations in the dilute gas approximation. As a result, the dual Abelian gauge boson acquires a nonvanishing (magnetic) mass due to the Debye screening effects in such a gas. The obtained theory is then used for the construction of the corresponding effective potential of monopole loop currents and the string representation. Finally, by virtue of this representation, confining properties of the SU(2)-gluodynamics are emphasized.

hep-th↗

arXiv1999

Aharonov-Bohm Effect in the Abelian-Projected SU(3)-QCD with $Θ$-term

By making use of the path-integral duality transformation, string representation of the Abelian-projected SU(3)-QCD with the $Θ$-term is derived. Besides the short-range (self-)interactions of quarks (which due to the $Θ$-term acquire a nonvanishing magnetic charge, i.e. become dyons) and electric Abrikosov-Nielsen-Olesen strings, the resulting effective action contains also a long-range topological interaction of dyons with strings. This interaction, which has the form of the 4D Gauss linking number of the trajectory of a dyon with the world-sheet of a closed string, is shown to become nontrivial at $Θ$ not equal to $3π$ times an integer. At these values of $Θ$, closed electric Abrikosov-Nielsen-Olesen strings in the model under study can be viewed as solenoids scattering dyons, which is the 4D analogue of the Aharonov-Bohm effect.

hep-th↗

arXiv1999

Confining Properties of Abelian-Projected Theories and Field Strength Correlators

We review the string representations of Abelian-projected SU(2)- and SU(3)-gauge theories and their application to the evaluation of bilocal field strength correlators. The large distance asymptotic behaviours of the latter ones are shown to be in agreement with the Stochastic Vacuum Model of QCD and existing lattice data.

hep-th↗

arXiv1999

Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics

Grand canonical ensemble of small vortex loops emerging in the London limit of the effective Abelian-projected theory of the SU(3)-gluodynamics is investigated in the dilute gas approximation. An essential difference of this system from the SU(2)-case is the presence of two interacting gases of vortex loops. Two alternative representations for the partition function of such a grand canonical ensemble are derived, and one of them, which is a representation in terms of the integrals over vortex loops, is employed for the evaluation of the correlators of both kinds of loops in the low-energy limit.

hep-th↗

arXiv1998

Confining Properties of Abelian(-Projected) Theories

Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the world-sheets of electric strings in 4D or electric vortex lines in 3D. Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D Abelian Higgs model with external monopoles and give a physical interpretation to the confining string theory as the integral over the monopole densities. Finally, we derive the bilocal field strength correlator in the weak-field limit of 3D compact QED, which turns out to be in line with the one predicted by the Stochastic Vacuum Model.

hep-th↗

arXiv1998

String Representation of Field Correlators in the SU(3)-Gluodynamics

The string representation of the Abelian projected SU(3)-gluodynamics partition function is derived by using the path-integral duality transformation. On this basis, we also derive analogous representations for the generating functionals of correlators of gluonic field strength tensors and monopole currents, which are finally applied to the evaluation of the corresponding bilocal correlators. The large distance asymptotic behaviours of the latter turn out to be in a good agreement with existing lattice data and the Stochastic Model of the QCD vacuum.

hep-th↗

arXiv1998

String Representation of Field Correlators in the Dual Abelian Higgs Model

By making use of the path integral duality transformation, we derive the string representation for the partition function of an extended Dual Abelian Higgs Model containing gauge fields of external currents of electrically charged particles. By the same method, we obtain the corresponding representations for the generating functionals of gauge field and monopole current correlators. In the case of bilocal correlators, the obtained results are found to be in agreement with the dual Meissner scenario of confinement and with the Stochastic Model of the QCD vacuum.

hep-th↗