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Hidden local gauge invariance in integrable magnetic chains

De Vega, H.J. ; Lopes, E.

Physics letters. B, 1987-03, Vol.186 (2), p.180-184 [Periódico revisado por pares]

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Título:
Hidden local gauge invariance in integrable magnetic chains
Autor: De Vega, H.J. ; Lopes, E.
Assuntos: Exact sciences and technology ; Nonlinear dynamics and nonlinear dynamical systems ; Physics ; Statistical physics, thermodynamics, and nonlinear dynamical systems
É parte de: Physics letters. B, 1987-03, Vol.186 (2), p.180-184
Descrição: It is shown that local gauge transformations preserve the integrability of one-dimensional quantum Heisenberg chains. Abelian U(1) gauge transformations associated to z-rotations appear in the XXZ model which is worked out in detail. The exact energy spectrum derived by the Bethe ansatz turns out to be gauge-invariant whereas the eigenvectors are explicitly gauge-dependent. Isotropic XXX chains exhibit SU(2) ⊗ Z2 gauge invariance properties and anisotropic XYZ chains possess discrete Z2 ⊗ Z2 gauge invariance.
Editor: Amsterdam: Elsevier B.V
Idioma: Inglês

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