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Subsets and the canonical partition functions

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arxiv 1211.3990 v1 pith:6EFGW5N3 submitted 2012-11-16 hep-lat

Subsets and the canonical partition functions

classification hep-lat
keywords canonicalchargechiralmatrixpartitionquarkrandomsubset
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We explain the physical nature of the subset solution to the sign problem in chiral random matrix theory: The subset sum 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.

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  1. Path optimization method for the sign problem: Insights from random matrix models

    hep-lat 2026-07 conditional novelty 5.0

    Path optimization improves the average phase factor in the Stephanov model at high chemical potential but not at low chemical potential or in the chiral random matrix model, pointing to the global sign problem as the ...