On the scaling limit of the 1D Hubbard model at half-filling |
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| Affiliation: | 1. Department of Biological Sciences, University of Manitoba, Winnipeg, MB R3T 2N2, Canada;2. Environmental Licensing & Protection Department, Manitoba Hydro, 360 Portage Ave, Winnipeg, MB R3C 0G8, Canada;3. North South Consultants, 83 Scurfield Blvd, Winnipeg, MB R3Y 1G4, Canada |
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| Abstract: | The dispersion relations and S-matrix of the one-dimensional Hubbard model at half-filling are onsidered in a certain scaling limit. (In the process we derive a useful small-coupling expansion of the exact lattice dispersion relations.) The resulting scattering theory is consistently identified as that of the SU(2) chiral-invariant Thirring (or Gross-Neveu) field theory, containing both massive and massless sectors. |
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