Determinant Representations of Correlation Functions for the Supersymmetric t-J Model

TL;DR

This paper derives determinant representations of correlation functions for the supersymmetric t-J model using the factorizing F-matrix, facilitating exact calculations of physical quantities.

Contribution

It introduces a novel determinant representation of correlation functions for the supersymmetric t-J model within the F-basis framework.

Findings

Scalar products of Bethe states are expressed as determinants.

Determinant formulas for correlation functions are obtained.

Results enable precise analytical computations in the model.

Abstract

Working in the $F$-basis provided by the factorizing $F$-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.