Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-04
Phys.Rev. D57 (1998) 5195-5213
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, Latex, 5 figures. Several references added, final version to be published in Physical Review D
Scientific paper
10.1103/PhysRevD.57.5195
Various features of domain walls in supersymmetric gluodynamics are discussed. We give a simple field-theoretic interpretation of the phenomenon of strings ending on the walls recently conjectured by Witten. An explanation of this phenomenon in the framework of gauge field theory is outlined. The phenomenon is argued to be particularly natural in supersymmetric theories which support degenerate vacuum states with distinct physical properties. The issue of existence (or non-existence) of the BPS saturated walls in the theories with glued (super)potentials is addressed. The amended Veneziano-Yankielowicz effective Lagrangian belongs to this class. The physical origin of the cusp structure of the effective Lagrangian is revealed, and the limitation it imposes on the calculability of the wall tension is explained. Related problems are considered. In particular, it is shown that the so called discrete anomaly matching, when properly implemented, does not rule out the chirally symmetric phase of supersymmetric gluodynamics, contrary to recent claims.
Kogan Ian I.
Kovner Alex
Shifman Mikhail
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