Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-11-09
Phys.Rev. D59 (1999) 085001
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, Latex; 3 Figures (Encapsulated PostScript)
Scientific paper
10.1103/PhysRevD.59.085001
We consider three dimensional SU(N) N=1 super-Yang-Mills compactified on the space-time R X S^1 X S^1. In particular, we compactify the light-cone coordinate x^- on a light-like circle via DLCQ, and wrap the remaining transverse coordinate on a spatial circle. By retaining only the first few excited modes in the transverse direction, we are able to solve for bound state wave functions and masses numerically by diagonalizing the discretized light-cone supercharge. This regularization of the theory is shown to preserve supersymmetry. We plot bound state masses as a function of the coupling, showing the transition in particle masses as we move from a weakly to a strongly-coupled theory. We analyze both numerically and analytically massless states which exist only in the limit of strong or weak gauge coupling. In addition, we find massless states that persist for all values of the gauge coupling. An analytical treatment of these massless states is provided. Interestingly, in the strong coupling limit, these massless states become string-like.
Antonuccio Francesco
Lunin Oleg
Pinsky Stephen
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