Il Nuovo Cimento D

, Volume 18, Issue 9, pp 1087–1097 | Cite as

Modular invariant partition function of the Hubbard model

  • Zhe Chang


By making use of the Abelian bosonization procedure, we obtain a Coulomb-gas picture of the continuum limit of the one-dimensional Hubbard model. It is shown clearly that the semi-direct product of two Virasoro algebras (c=1) denotes symmetry of excitations of the Hubbard model. A systematic study of modular invariant partition function for the Hubbard model is presented. Correlation functions are calculated explicitly and the result is in good agreement with those of numerical simulations and Tomonaga-Luttinger model.

PACS 71.27

Strongly correlated electron systems heavy fermions 

PACS 05.30

Quantum statistical mechanics 


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Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • Zhe Chang
    • 1
    • 2
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.Sezione di TriesteINFNTriesteItaly

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