Connection between the Slave-Particles and X-Operators Path-Integral Representations. a New Perturbative Approach
Strongly Correlated Electrons
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0007018,
title = {Connection between the Slave-Particles and X-Operators Path-Integral Representations. a New Perturbative Approach},
author = {A. Foussats and A. Greco and C. Repetto and O. P. Zandron and O. S. Zandron},
journal= {arXiv preprint arXiv:cond-mat/0007018},
year = {2009}
}
Comments
27 pages, latex, no figures(to be published in Journal of Physics A:Mathematical and General)