The Hubbard model in the canonical formulation

Burri, Sebastian; Wenger, Urs (27 August 2020). The Hubbard model in the canonical formulation. PoS - proceedings of science, LATTICE2019, p. 249. Trieste, Italy: Scuola Internazionale Superiore di Studi Avanzati SISSA 10.22323/1.363.0249

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We describe non-relativistic fermions on the lattice (Hubbard model) in the canonical formulation using transfer matrices in fixed fermion number sectors such that the partition function becomes fully factorized in time. By analytically integrating out the auxiliary Hubbard-Stratanovich field due to the four-fermion interaction, we express the system in terms of discrete, local fermion occupation numbers which are the only remaining degrees of freedom. We show the close relation to the fermion loop and the fermion bag formulation. One can prove that in 1+1 dimension the fermion sign problem is absent. Finally, we construct improved estimators for the ground state energy, 2-point functions, and for the chemical potential.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Burri, Sebastian Andreas and Wenger, Urs

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

16 Nov 2020 14:07

Last Modified:

16 Nov 2020 14:07

Publisher DOI:

10.22323/1.363.0249

ArXiv ID:

1912.09361

BORIS DOI:

10.7892/boris.147965

URI:

https://boris.unibe.ch/id/eprint/147965

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