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      Duality and Enhanced Gauge Symmetry in 2+1 Dimensions

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          Abstract

          We investigate the enlarged CP(N) model in 2+1 dimensions. This is a hybrid of two CP(N) models coupled with each other in a dual symmetric fashion, and it exhibits the gauge symmetry enhancement and radiative induction of the finite off-diagonal gauge boson mass as in the 1+1 dimensional case. We solve the mass gap equations and study the fixed point structure in the large-N limit. We find an interacting ultraviolet fixed point which is in contrast with the 1+1 dimensional case. We also compute the large-N effective gauge action explicitly.

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          Ultraviolet Behavior of Non-Abelian Gauge Theories

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            Structure of Phenomenological Lagrangians. II

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              Gauge Symmetry Enhancement and Radiatively Induced Mass in the Large N Nonlinear Sigma Model

              We consider a hybrid of nonlinear sigma models in which two complex projective spaces are coupled with each other under a duality. We study the large N effective action in 1+1 dimensions. We find that some of the dynamically generated gauge bosons acquire radiatively induced masses which, however, vanish along the self-dual points where the two couplings characterizing each complex projective space coincide. These points correspond to the target space of the Grassmann manifold along which the gauge symmetry is enhanced, and the theory favors the non-Abelian ultraviolet fixed point.
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                Author and article information

                Journal
                24 April 2001
                2001-12-24
                Article
                10.1088/0305-4470/35/4/315
                hep-th/0104204
                ef4af596-df51-4013-84a4-3ed84d129efa
                History
                Custom metadata
                SKKUPT-04/2001
                J.Phys.A35:1025-1044,2002
                26 pags, latex, 5 .eps figures, typos corrected. To appear in J. Phys. A
                hep-th

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