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SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Abstract:
We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

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Journal:
Nuclear Physics B More from this journal
Volume:
426
Issue:
3
Pages:
505-533
Publication date:
1994-01-01
ISSN:
0550-3213
Language:
English
Pubs id:
pubs:365444
UUID:
uuid:ea3a0902-f880-4b02-abe4-6caa17f04201
Local pid:
pubs:365444
Source identifiers:
365444
Deposit date:
2013-11-17

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