Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-01
Int.J.Mod.Phys.A11:4745-4777,1996
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, LaTeX, 13 figures, uses epsf.sty
Scientific paper
10.1142/S0217751X96002170
We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. For small supersymmetry breaking parameter with respect to the dynamical scale of the theory we obtain an exact expression for the effective potential. We describe in detail the onset of the confinement transition and some of the patterns of chiral symmetry breaking. If we extrapolate the results to the limit where supersymmetry decouples, we obtain hints indicating that perhaps a description of the QCD vacuum will require the use of Lagrangians containing simultaneously mutually non-local degrees of freedom (monopoles and dyons).
Alvarez-Gaume Luis
Distler Jacques
Kounnas Costas
Marino Marcos
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