Ground-state wave functionals for (1 + 1)-dimensional fermion field theories

Eduardo Fradkin, Enrique Moreno, Fidel A. Schaposnik

Research output: Contribution to journalArticlepeer-review


We use path-integral methods to derive the ground-state wave functions of a number of two-dimensional fermion field theories and related systems in one-dimensional many-body physics. We derive the exact wave function for the Thirring-Luttinger and coset fermion models and apply our results to derive the universal behavior of the wave functions of the Heisenberg antiferromagnets and of the Sutherland model. We find explicit forms for the wave functions in the density and in the Grassmann representations. We show that these wave functions always have the Jastrow factorized form and calculated the exponent. Our results agree with the exponents derived from the Bethe ansatz for the Sutherland model and the Haldane-Shastri spin chain but apply to all the systems in the same universality class.

Original languageEnglish (US)
Pages (from-to)667-699
Number of pages33
JournalNuclear Physics, Section B
Issue number3
StatePublished - Mar 15 1993

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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