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Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions | T. Spencer
; M.R. Zirnbauer
; | Date: |
11 Oct 2004 | Journal: | Commun.Math.Phys. 252 (2004) 167-187 | Subject: | Mathematical Physics; Disordered Systems and Neural Networks | math-ph cond-mat.dis-nn hep-th math.MP | Abstract: | 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. | Source: | arXiv, math-ph/0410032 | Services: | Forum | Review | PDF | Favorites |
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