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Advances in High Energy Physics
Volume 2014 (2014), Article ID 148375, 11 pages
http://dx.doi.org/10.1155/2014/148375
Research Article

Common Behaviors of Spinor-Type Instantons in 2D Thirring and 4D Gursey Fermionic Models

1Department of Physics, Istanbul University, Istanbul, Turkey
2School of Advanced Vocational Studies, Istanbul Bilgi University, Istanbul, Turkey

Received 1 March 2014; Accepted 17 June 2014; Published 17 July 2014

Academic Editor: Shi-Hai Dong

Copyright © 2014 Fatma Aydogmus and Eren Tosyali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We investigate two examples of conformal invariant pure spinor fermionic models, which admit particle-like solutions of the classical field equations. For different dimensions and quantum spinor numbers, the vector field visualizations of the models are constructed to provide a better understanding of the spinor-type instanton dynamics in phase space. The hierarchical cluster analysis method investigations of the models are also presented. Finally, the autocorrelation and power spectrum graphs of models are constructed and frequencies of motions are defined.