Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 252, Issue 1-3, Pages 167-187Publisher
SPRINGER
DOI: 10.1007/s00220-004-1223-3
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Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H-2, the two- hyperboloid with isometry group SU(1,1), and prove that in three dimensions moments of the fields are finite in the thermodynamic limit. Thus the non-compact symmetry SU(1,1) is spontaneously broken. The bound on moments is compatible with the presence of extended states.
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