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We investigate the phase diagram and the mechanism for the sign problem toappear in finite density QCD at strong coupling in a combined framework of theauxiliary field Monte-Carlo (AFMC) and the chiral angle fixing (CAF) methods.When bosonizing meson hopping terms in the effective action, we need tointroduce imaginary number coefficients, which leads to a complex phase innumerical simulations. By using the cut-off technique, we quantitatively showthat high momentum modes of auxiliary fields mainly contribute to the weightcancellation; Cutting-off high-momentum auxiliary field modes does not modifyorder parameters but suppresses statistical weight cancellation, when we choosethe cut-off parameter appropriately.

QCD phase diagram at strong coupling including auxiliary field fluctuations