Slave-particle quantization and sum rules in the t-J model

TL;DR

This paper clarifies the correct quantization of slave-particle models in the t-J and Hubbard models, demonstrating that the physical electron sum rule is upheld when proper rules are applied, countering previous criticisms.

Contribution

It provides a classical Hamiltonian formulation and correct quantization method for slave-particle models, ensuring the sum rule for physical electrons is satisfied.

Findings

Sum rule for physical electrons is obeyed with correct quantization.

Criticisms based on sum rule violations are invalid.

Slave-particle approaches can accurately describe electron distributions.

Abstract

In the framework of constrained systems, we give the classical Hamiltonian formulation of slave-particle models and their correct quantization. The electron-momentum distribution function in the t-J and Hubbard models is then studied in the framework of slave-particle approaches and within the decoupling scheme. We show that criticisms that have been addressed in this context coming from a violation of the sum rule for the physical electron are not valid. Due to the correct quantization rules for the slave-particles, the sum rule for the physical electron is indeed obeyed, both exactly and within the decoupling scheme.