Correlations between Abelian monopoles and center vortices in SU(2) and SU(3) gauge groups

Document Type : Full length research Paper

Author

Semnan university

Abstract

In this research, we study the correlations between magnetic monopoles and center vortices in SU(2) and SU(3) gauge groups in a phenomenological model. Both center vortices and monopoles lead to the quark confinement. Therefore, one may expect that there is some kind of relation between monopoles and center vortices. Investigating the quark potentials and group factor obtained by the monopole-antimonopole pairs in SU(2) gauge group, we observe that these pairs deform to monopole-vortex chains. The results agree with lattice gauge theory. In addition, we investigate combinations of magnetic monopoles in SU(3) gauge group leading to vortex flux.

Keywords: Confinement, Wilson loop, Magnetic monopole, Center vortex

Keywords


[1] J. Greensite, The confinement problem in lattice gauge theory, Progress in Particle and Nuclear Physics51(2003) 1-83.
[2]     M. Engelhardt, Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom, Nuclear Physics Proceedings Supplements 140(2005) 92-105.
[3]     T. Suzuki, Monopoles and confinement, Nuclear Physics B,Proceedings Supplements30(1993) 176-183.
[4]     M.N. Chernodub, M. I. Polikarpov, Confinement, duality and nonperturbative aspects of QCD, Plenum Press, New York, (1998).
[5]     R.W. Haymaker,Confinement studies in lattice QCD, Physics Reports315(1999) 153-173.
[6]     G.’t Hooft, Topology of the gauge condition and new confinement phases non-abelian gauge theories, Nuclear Physics B 190 (1981)455-478.
[7]     M. Faber, J. Greensite, S. Olejnik, Casimir scaling from center vortices: Towards an understanding of the adjoint string tension, Physical Review D 57 (1998) 2603-2609.
[8]     S. Deldar, Static SU(3) potentials for sources in various representations, Physical Review D 62 (2000) 034509.
 
[9]     S. Deldar, H. Lookzadeh, S.M. Hosseini Nejad, Confinement in G2 gauge theories using thick center vortex model and domain structures, Physical Review D 85 (2012) 054501.
 
[10]  S. Rafibakhsh, The effect of SU(4) group factor in the thick center vortex potentials,Physical Review D 89 (2014) 034503.
 
[11]   S. Deldar, A. Mohamadnejad, Quark Confinement in Restricted SU(2) Gauge Theory, Physical Review D 86(2012) 065005.
 
[12]   M. Kiamari, S. Deldar, Interacting dyon ensemble and confinement by particle mesh Ewald's method, Physical Review D 95(2017) 076006.
 
[13]  M.N. Chernodub, V.I. Zakharov, Monopoles and vortices in Yang-Mills plasma, Physics of Atomic Nuclei 72 (2009) 2136-2145.
 
[14]  J.M. Cornwall, Center vortices, nexuses, and fractional topological charge, Physical Review D 61 (2000) 085012.
 
[15]   M.N. Chernodub, R. Feldmann, E.-M. Ilgenfritz, A. Schiller, The Compact Q=2 Abelian Higgs model in the London limit: Vortex-monopole chains and the photon propagator, Physical Review D 71(2005) 074502.
[16]  G. Ripka, Dual superconductor models of color confinement, Lecture Notes in Physics 639(2004) 1.