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

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

2000-07-03

arxiv.org/abs/cond-mat/0007018v1

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1088/0305-4470/33/33/305

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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