Hidden Non-Abelian Gauge Symmetries in Doped Planar Antiferromagnets

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dc.creatorFarakos, K.
dc.creatorMavromatos, N. E.
dc.date1996-11-10
dc.date1997-07-09
dc.date.accessioned2026-07-07T12:01:15Z
dc.date.available2026-07-07T12:01:15Z
dc.descriptionWe 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 $SU(2)\otimes U_S(1) \otimes U_E(1)$, where SU(2) is a local non-Abelian group associated with the spin degrees of freedom, U_E(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 a 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 $SU(2) \to U(1)$. 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.
dc.description32 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.)
dc.identifierhttps://arxiv.org/abs/cond-mat/9611072
dc.identifierhttp://arxiv.org/abs/cond-mat/9611072
dc.identifierPhys.Rev.B57:3017-3030,1998
dc.identifierdoi:10.1103/PhysRevB.57.3017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207036
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleHidden Non-Abelian Gauge Symmetries in Doped Planar Antiferromagnets
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