Perturbative Formalism in the t-J Model: Diagrammatics and Feynman Rules

doi:10.1006/aphy.1999.5973

Annals of Physics

Volume 279, Issue 2, 1 February 2000, Pages 263-281

https://doi.org/10.1006/aphy.1999.5973 Get rights and content

Abstract

The t-J model is analyzed in the context of the path-integral formalism. The starting point is the first-order Lagrangian formulation written in terms of the Hubbard operators recently developed. Subsequently, by using functional techniques the correlation generating functional is constructed in terms of the proper effective Lagrangian of the model. Next, for small hole density and considering an antiferromagnetic background, a perturbative treatment of the effective Lagrangian is carried out, and so the diagrammatics and the Feynman rules can be found. Finally, the Feynman rules, propagators, and vertices are used to study magnetic properties.

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Regular ArticlePerturbative Formalism in the t-J Model: Diagrammatics and Feynman Rules

Abstract

Ann. Phys.

Phys. Rep.

Int. J. Theoret. Phys.

Phys. Uspekhi

Theoret. Math. Phys.

Regular Article
Perturbative Formalism in the t-J Model: Diagrammatics and Feynman Rules