Journal article

Subsets of configurations and canonical partition functions

Jacques Bloch, Falk Bruckmann, Mario Kieburg, K Splittorff, JJM Verbaarschot

PHYSICAL REVIEW D | AMER PHYSICAL SOC | Published : 2013

Abstract

We explain the physical nature of the subset solution to the sign problem in chiral random matrix theory: the subset sum over configurations is shown to project out the canonical determinant with zero quark charge from a given configuration. As the grand canonical chiral random matrix partition function is independent of the chemical potential, the zero-quark-charge sector provides the full result. © 2013 American Physical Society.

University of Melbourne Researchers

Grants

Awarded by U.S. DOE


Awarded by DFG collaborative research center


Awarded by DFG


Funding Acknowledgements

We would like to thank Christof Gattringer for discussions and exchange of unpublished results. This work was supported by U.S. DOE Grant No. DE-FG-88ER40388 (JV), the Sapere Aude program of The Danish Council for Independent Research (KS), the DFG collaborative research center SFB/TR55 (JB), the DFG (BR 2872/4-2) (FB), and the Alexander-von-Humboldt Foundation (MK).