Hidden non-Abelian gauge symmetries in doped planar antiferromagnets

1996/11/30 by K. Farakos, Nick E. Mavromatos, N. E. Mavromatos
Mathematics · Physics and Astronomy · #Abelian group #Advanced Condensed Matter Physics #Charge (physics) #Combinatorics #Gauge theory #Geometry #Homogeneous space #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #cond-mat #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevb.57.3017

published as Phys.Rev.B57:3017-3030,1998 · 32 pages LATEX, one figure. (More details given in the passage from the Hubbard model to the long wavelength lattice gauge theory; one figure added; no changes in the conclusions.)

arxiv created 1997/07/09 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the possibility of hidden non-Abelian local phase symmetries in large-U doped planar Hubbard antiferromagnets, believed to simulate the physics of two-dimensional (magnetic) superconductors. We present a spin-charge separation ansatz, appropriate to incorporate holon spin flip, which allows for such a hidden local gauge symmetry to emerge in the effective action. The group is of the form SU(2)\ensuremath\bigotimesU_S(1)\ensuremath\bigotimesU_em(1), where SU(2) is a local non-Abelian group associated with the spin degrees of freedom, U_em(1) is that of ordinary electromagnetism, associated with the electric charge of the holes, and U_S(1) is a ``statistical'' Abelian gauge group pertaining to the fractional statistics of holes on the spatial plane. In certain regime of the parameters of the model, namely, strong U_S(1) and weak SU(2), there is the possibility of dynamical formation of a holon condensate. This leads to a dynamical breaking of SU(2)\ensuremath→U(1). The resulting Abelian effective theory is closely related to an earlier model proposed as the continuum limit of large-spin planar doped antiferromagnets, which lead to an unconventional scenario for two-dimensional parity-invariant superconductivity.

Citations

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