Relativity Restored: Dirac Anisotropy in QED$_3$

Details Relativity Restored: Dirac Anisotropy in QED$_3$ Relativity Restored: Dirac Anisotropy in QED$_3$

2002-03-04

arxiv.org/abs/cond-mat/0203047v2

Phys.Rev.Lett. 89 (2002) 157003

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure; crucial typo in Eqn. 29 corrected, notation clarified

Scientific paper

10.1103/PhysRevLett.89.157003

We show that at long lengthscales and low energies and to leading order in 1/N expansion, the anisotropic QED in 2+1 dimensions renormalizes to an isotropic limit. Consequently, the (Euclidean) relativistic invariance of the theory is spontaneously restored at the isotropic critical point, characterized by the anomalous dimension exponent of the Dirac fermion propagator $\eta$. We find $\eta=16/3\pi^2 N$.

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