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We study gluodynamics in an external Abelian electromagnetic field within thedual superconductor approach. We show that the SU(2) gluodynamics shouldpossess a deconfining phase transition at zero temperature at certain value ofthe external field. A dual superconductor model for the SU(3) gauge theory inexternal field predicts a rich phase structure containing confinement,asymmetric confinement and deconfinement phases. These results can be used tocheck the validity of the dual superconductor description of gluodynamics inexternal fields. We also discuss the gauge-independence of the obtainedresults.Comment: Talk given at ``Confinement 2003'', RIKEN, Wako, Japan, July 21-24,  2003; 5 pages, 1 figure, uses ws-procs9x6.cl

GLUODYNAMICS IN EXTERNAL FIELD: A TEST OF THE DUAL SUPERCONDUCTOR PICTURE