Diagrammatic representation of scalar QCD and sign problem at nonzero chemical potential

Bruckmann, Falk and Wellnhofer, Jacob (2018) Diagrammatic representation of scalar QCD and sign problem at nonzero chemical potential. PHYSICAL REVIEW D, 97 (1): 014501. ISSN 2470-0010, 2470-0029

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Abstract

We consider QCD at strong coupling with scalar quarks coupled to a chemical potential. Performing the link integrals we present a diagrammatic representation of the path integral weight. It is based on mesonic and baryonic building blocks, in close analogy to fermionic QCD. Likewise, the baryon loops are subject to a manifest conservation of the baryon number. The sign problem is expected to disappear in this representation and we do confirm this for three flavors, where a scalar baryon can be built and, thus, a dependence on the chemical potential occurs. For higher flavor number, we analyze examples for a potential sign problem in the baryon sector and conjecture that all weights are positive upon exploring the current conservation of each flavor.

Item Type: Article
Uncontrolled Keywords: LATTICE QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Mar 2020 11:02
Last Modified: 23 Mar 2020 11:02
URI: https://pred.uni-regensburg.de/id/eprint/15213

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