Dynamics of SU( N) supersymmetric gauge theory
Abstract
We study the physics of the SeibergWitten and ArgyresFaraggiKlemmLercheTheisenYankielowicz solutions of D = 4, N = 2 and N = 1 SU( N) supersymmetric gauge theory. The N = 1 theory is confining and its effective Lagrangian is a spontaneously broken U(1) ^{N1 } abelian gauge theory. We identify some features of its physics which see this internal structure, including a spectrum of different string tensions. We discuss the limit N → ∞, identify a scaling regime in which instanton and monopole effects survive, and give exact results for the crossover from weak to strong coupling along a scaling trajectory. We find a large hierarchy of mass scales in the scaling regime, including very light W bosons, and the absence of weak coupling. The light W's leave a novel imprint on the effective dual magnetic theory. The effective Lagrangian appears to be inadequate to understand the conventional large N limit of the confining N = 1 theory
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00258T
 arXiv:
 arXiv:hepth/9503163
 Bibcode:
 1995NuPhB.447..271D
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 28 pages, harvmac, 4 eps figures in separate uuencoded file. We have extended this paper considerably, adding new results, discussion and figures. In particular, we give exact formulas for masses and couplings along a scaling trajectory appropriate to the large $N$ limit. These formulas display a novel effect due to light electric $W$ bosons down to energy scales $\sim e^{N}$, deep in the weak coupling magnetic regime