Crystals of topological vortices in compact electrodynamics
https://doi.org/10.1134/S2079562920040132
Abstract
We study the changes in the topological properties of four-dimensional compact lattice electrodynamics. The requirement of the model to be compact leads to the appearance of topological defects (monopoles) creating magnetic currents. Available calculations have demonstrated the presence of a phase transition for the production of monopoles. In this work a phase transition between various states inside this phase and indications of the possibility of separating a single “monopoly” phase into smaller ones, which differ in the ordering of the arrangement of magnetic currents and their intensity, are found. The regularity of such a consideration is justified, as well as the consequences confirming the presence of a second phase transition in the model. The dependence of the correlation properties of magnetic currents on the direction is demonstrated. A new method of phase transitions analysis using geometric construction is proposed, revealing the changes that occur with flows in various states.
Supporting agencies: This work was supported by the Foundation for the Development of Theoretical Physics and Mathematics “BASIS” (number 19-2-6- 227-1). Work done using resources supercomputer complex of Moscow State University named after M. V. Lomonosov [8]. Work of O. V. P. on phase analysis compact QED diagrams, supported by a grant Russian Science Foundation (project No. 16-12-10059)
About the Authors
S. D. Mostovoy
Lomonosov Moscow State University
Russian Federation
Russian Federation
119991; Leninskiye Gory 1-3; Moscow
O. V. Pavlovsky
Lomonosov Moscow State University; Alikhanov Institute for Theoretical and Experimental Physics, National Research Center “Kurchatov Institute”
Russian Federation
Russian Federation
119991; Leninskiye Gory 1-3; 117218; Moscow
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Review
For citations:
Mostovoy S.D., Pavlovsky O.V. Crystals of topological vortices in compact electrodynamics. Nuclear Physics and Engineering. 2020;11(4):219-224. (In Russ.) https://doi.org/10.1134/S2079562920040132
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