Domain Walls Zoo in Supersymmetric QCD

Solving numerically the equations of motion for the effective lagrangian describing supersymmetric QCD with the SU(2) gauge group, we find a menagerie of complex domain wall solutions connecting different chirally asymmetric vacua. Some of these solutions are BPS-saturated walls; they exist when the mass of the matter fields does not exceed some critical value m < m∗ = 4.67059 . . .. There are also sphaleron branches (saddle points of the energy functional). In the range m∗ < m < m∗∗ ≈ 4.83, one of these branches becomes a local minimum (which is not a BPS saturated one). At m > m∗∗, the complex walls disappear altogether and only the walls connecting a chirally asymmetric vacuum with the chirally symmetric one survive. ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russia Service de Physique Théorique de Saclay, 91191 Gif–Sur–Yvette, France