Relativity Restored: Dirac Anisotropy inQED3

2002/03/07 by Oskar Vafek, O. Vafek, Zlatko Tešanović +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat.str-el #cond-mat.supr-con #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.89.157003

published as Phys.Rev.Lett. 89 (2002) 157003 · 4 pages, 1 figure; crucial typo in Eqn. 29 corrected, notation clarified

arxiv created 2002/03/07 · openalex publication_date 2002/09/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that, at long length scales 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.

Citations

• Algebraic Fermi Liquid from Phase Fluctuations: “Topological” Fermions, Vortex “Berryons,” andQED3Theory of Cuprate Superconductors
• Chiral symmetry breaking and phase fluctuations: AQED3theory of the pseudogap state in cuprate superconductors

Cited by

• Theory of the nodal nematic quantum phase transition in superconductors
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Fine structure of chiral symmetry breaking in theQED3theory of underdoped high-Tcsuperconductors
• Kosterlitz–Thouless-like deconfinement mechanism in the (2+1)-dimensional Abelian Higgs model

Related

• QED in 2+1 Dimensions with Fermi and Gap Anisotropies
• QED(1+1) by Dirac Quantization
• Constraints on the Dirac spectrum from chiral symmetry restoration and the fate of U(1)_A symmetry
• A Relativistic Symmetrical Interpretation of the Dirac Equation in (1+1) Dimensions
• A note on anomalous Jacobians in 2+1 dimensions