TY - JOUR

T1 - CPN-1 models at a Lifshitz point

AU - Das, Sumit R.

AU - Murthy, Ganpathy

PY - 2009/9/4

Y1 - 2009/9/4

N2 - 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=εij∂iAj.

AB - 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=εij∂iAj.

UR - http://www.scopus.com/inward/record.url?scp=70349871202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349871202&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.80.065006

DO - 10.1103/PhysRevD.80.065006

M3 - Article

AN - SCOPUS:70349871202

SN - 1550-7998

VL - 80

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

M1 - 065006

ER -