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

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.

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

References in corpus (2)

• First-Order Lagrangians and Path-Integral Quantization in the t-J Model
• Supersymmetry in models with strong on-site Coulomb repulsion - application to t-J model

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