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We consider QCD at strong coupling with scalar quarks coupled to a chemicalpotential. Performing the link integrals we present a diagrammaticrepresentation of the path integral weight. It is based on mesonic and baryonicbuilding blocks, in close analogy to fermionic QCD. Likewise, the baryon loopsare subject to a manifest conservation of the baryon number. The sign problemis expected to disappear in this representation and we do confirm this forthree flavors, where a scalar baryon can be built and thus a dependence on thechemical potential occurs. For higher flavor number we analyse examples for apotential sign problem in the baryon sector and conjecture that all weights arepositive upon exploring the current conservation of each flavor.

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