First-Order Lagrangians and Path-Integral Quantization in the t–J Model

✍ Scribed by A. Foussats; A. Greco; O.S. Zandron

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 134 KB
• Volume: 275
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1999.5930

✦ Synopsis

By using the supersymmetric version of the Faddeev Jackiw symplectic formalism, a family of first-order constrained Lagrangians for the t J model is found. In this approach the Hubbard X -operators are used as field variables. In this framework, we first study the spinless fermion model which satisfies the graded algebra spl(1, 1). Later on, in order to satisfy the Hubbard X -operator commutation rules satisfying the graded algebra spl(2, 1), we find the number and kind of constraints that must be included in a classical first-order Lagrangian formalism for the t J model. This model is also analyzed in the context of the path-integral formalism, and so the correlation generating functional and the effective Lagrangian are constructed.