Effective Abelian-Higgs Theory from SU(2) gauge field theory

VLADIMIR DZHUNUSHALIEV, DOUGLAS SINGLETON, DANNY DHOKARH
2005 International Journal of Modern Physics A  
In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU(2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a
more » ... c mass term is obtained from the condensation of ghost fields.
doi:10.1142/s0217751x05026807 fatcat:3jc6o3egknektjdzsvj5tdeyqi