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

Abstract

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.

11 pages, REVTEX, typos are corrected, version to appear in Phys. Rev. D

References in corpus (3)

• When radiative corrections are finite but undetermined
• Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term
• Large N Limit of Higher Derivative Extended CP(N) Model

Cited by in corpus (5)

• Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models
• Gauge symmetry enhancement in Hamiltonian formalism
• BRST Invariant Theory Of A Generalized 1+1 Dimensional Nonlinear Sigma Model With Topological Term
• Grassmannian and Flag sigma models on interval: phase structure and L-dependence
• Duality and Enhanced Gauge Symmetry in 2+1 Dimensions