DOMAIN-WALLS IN SUPERSYMMETRIC YANG-MILLS THEORIES

We present a detailed analysis of the domain walls in supersymmetric g luodynamics and SQCD. We use the (corrected) Veneziano-Yankielowicz ef fective Lagrangians to explicitly obtain the wall profiles and check r ecent results of Dvali and Shifman: (i) the BPS-saturated nature of th e walls and (ii) the exact expressions for the wall energy density whi ch depend only on global features of dynamics (the existence of a nont rivial central extension of N=1 superalgebra in the theories which adm it wall-like solutions). If supersymmetry is softly broken by the glui no mass, the degeneracy of the distinct vacua is gone, and one can con sider the decay rate of the ''false'' vacuum into the genuine one. We do this calculation in the limit of the small gluino mass. Finally, we comment on the controversy regarding the existence of N distinct chir ally asymmetric vacua in SU(N) SUSY gluodynamics. [S0556-2821(97)02224 -8].