On Quark Confinement by the Particle Mesh Ewald’s Method

Document Type : Full length research Paper

Author

Department of Physics, University of Tehran, Tehran, Iran

Abstract

In this research, we study quark confinement by dyons as the vacuum structures of QCD theory and apply the particle mesh Ewald’s (PME) method – the generalization of Ewald’s method - on non interacting and interacting ensembles of dyons. As the result, we represent the linear functionality of the free energy of the quark-antiquark pair versus their separation in both non interacting and interacting simulations near the deconfinement temperature. We also show that adding the interaction of dyons to the system increases the string tension and decreases the temperature of the system. In other words, dyonic interaction increases the gluonic field strength.

Keywords

References

 
[1] D. Diakonov, Topology and confinement, Nuclear Physics B - Proceedings Supplements B 195 (2009) 5-45.
[2] D. Diakonov, V. Petrov, Confining ensemble of dyons, Physical Review D 76 (2007) 056001.
[3] D. Diakonov, N. Gromov, V. Petrov, S. Slizovskiy, Quantum weights of dyons and of instantons with nontrivial holonomy, Physical Review D 70 (2004) 036003.
[4] F. Bruckmann, S. Dinter, E.-M. Ilgenfritz, M. Muller-Preussker, and M. Wagner, Cautionary remarks on the moduli space metric for multi-dyon simulations, Physical Review D 79 (2009) 116007.
[5] P. Ewald, Die Berechnung optischer und elektrostatischer Gitterpotentiale, Annals of Physics 369 (1921) 253-287.
[6] F. Bruckmann, S. Dinter, E.-M. Ilgenfritz, B. Maier, M. Muller-Preussker, and M. Wagner, Confining dyon gas with finite-volume effects under control, Physical Review D85 (2012) 034502.
[7] U. Essmann, L. Perera, M.L. Berkowitz, T, Darden, H. Lee, G.Pedersen, A smooth particle mesh Ewald method, The Journal of Chemical Physics. 103 (1995) 8577-8593.
[8] M. Kiamari, S. Deldar, Interacting dyon ensemble and confinement by particle mesh Ewald method, Physical Review D95 (2017) 076006.
Journal of Research on Many-body Systems
Volume 8, Issue 19
March 2019
Pages 94-100

Files

History

  • Receive Date: 10 February 2018
  • Revise Date: 11 April 2018
  • Accept Date: 23 April 2018

Share

How to cite

Statistics