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Connection between the Slave-Particles and X-Operators Path-Integral Representations. a New Perturbative Approach

A. Foussats·A. Greco·C. Repetto·O. P. Zandron·O. S. Zandron
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Abstract

In the present work 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.

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A. Foussats, A. Greco, C. Repetto, O. P. Zandron, O. S. Zandron. 2000-07-03. Connection between the Slave-Particles and X-Operators Path-Integral Representations. a New Perturbative Approach. https://doi.org/10.1088/0305-4470%2F33%2F33%2F305

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