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Connection between the slave-particle andx-operator path-integral representations. A new perturbative approach

2000/07/03 by A. Foussats, A. Greco, C. Repetto +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.str-el

paper · pdf · doi:10.1088/0305-4470/33/33/305

27 pages, latex, no figures(to be published in Journal of Physics A:Mathematical and General)

arxiv created 2000/07/03 · openalex publication_date 2000/08/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In this paper it is shown that the family of first-order Lagrangians for the t - J model and the corresponding correlation-generating functional previously found can be exactly mapped into the slave-fermion decoupled representation. Next, by means of the Faddeev-Jackiw symplectic method, a different family of Lagrangians is constructed and it is shown how the corresponding correlation-generating functional can be mapped into the slave-boson representation. Finally, in order to define the propagation of fermion modes we discuss two alternative ways to treat the fermionic sector in the path-integral formalism for the t - J model.

Citations