CPN-1 models at a lifshitz point

Das, Sumit R. ; Murthy, Ganpathy (2009) CPN-1 models at a lifshitz point Physical Review D, 80 (6). 065006_1-065006_7. ISSN 0556-2821

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Official URL: http://prd.aps.org/abstract/PRD/v80/i6/e065006

Related URL: http://dx.doi.org/10.1103/PhysRevD.80.065006


We consider CPN-1 models in d+1 dimensions around Lifshitz fixed points with dynamical critical exponent z, in the large-N expansion. It is shown that these models are asymptotically free and dynamically generate a mass for the CPN-1 fields for all d=z. We demonstrate that, for z=d=2, the initially nondynamical gauge field acquires kinetic terms in a way similar to usual CPN-1 models in 1+1 dimensions. Lorentz invariance emerges generically in the low-energy electrodynamics, with a nontrivial dielectric constant given by the inverse mass gap and a magnetic permeability which has a logarithmic dependence on scale. At a special multicritical point, the low-energy electrodynamics also has z=2, and an essentially singular dependence of the effective action on B=εijiAj.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:8721
Deposited On:28 Oct 2010 10:56
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