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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 3, Pages 410–423
DOI: https://doi.org/10.4213/tmf108 (Mi tmf108) 		 
Zero Modes of the Dirac Operator in Vortex-Type Gauge Fields

V. Ch. Zhukovskii, O. V. Tarasov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf108
Abstract: We consider the $D4$ Euclidean Dirac equation in a $SU(2)$ gauge field with the form of intersecting central vortices and obtain its solutions corresponding to normalizable zero modes. In the context of the problem of constructing the mechanism of chiral symmetry breaking based on the model with randomly distributed central vortices, we study a possibility for splitting fermionic zero modes in the case of a superposition of many vortices with Pontryagin indices of different signs.
Keywords: gauge fields, QCD vacuum, chiral symmetry, central vortices.
Received: 10.09.2003
Revised: 30.12.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 3, Pages 1241–1252
DOI: https://doi.org/10.1023/B:TAMP.0000039830.49882.0f
Bibliographic databases:
Language: Russian
Citation: V. Ch. Zhukovskii, O. V. Tarasov, “Zero Modes of the Dirac Operator in Vortex-Type Gauge Fields”, TMF, 140:3 (2004), 410–423; Theoret. and Math. Phys., 140:3 (2004), 1241–1252
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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