Combining complex and radial slave boson fields within the Kotliar-Ruckenstein representation of correlated impurities

Abstract

The gauge symmetry group of any slave boson representation allows to gauge away the phase of bosonic fields. One benefit of this radial field formulation is the elimination of spurious Bose condensations when saddle-point approximation is performed. Within the Kotliar-Ruckenstein representation, three of the four bosonic fields can be radial while the last one has to remain complex. In this work, we present the procedure to carry out the functional integration involving constrained fermionic fields, complex bosonic fields, and radial bosonic fields. The correctness of the representation is verified by exactly evaluating the partition function and the Green's function of the Hubbard model in the atomic limit.

arXiv comment9 pages, 2 figures

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Cited by in corpus (6)

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• Operatorial formulation of the ghost rotationally-invariant slave-Boson theory
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Charge Collective Modes in Correlated Electron Systems: Plasmons Beyond the Random Phase Approximation
• Phase coexistence in a half-filled extended Hubbard model
• Bad metal and negative compressibility transitions in a two-band Hubbard model