Subsets of configurations and canonical partition functions

Jacques Bloch; Falk Bruckmann; Mario Kieburg; K. Splittorff; J. J.M. Verbaarschot

doi:10.1103/PhysRevD.87.034510

Subsets of configurations and canonical partition functions

Jacques Bloch
, Falk Bruckmann
, Mario Kieburg
, K. Splittorff
, J. J.M. Verbaarschot

Physics and Astronomy

University of Regensburg
Stony Brook University
University of Copenhagen

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Article number	034510
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	87
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevD.87.034510
State	Published - Feb 19 2013

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10.1103/PhysRevD.87.034510

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title = "Subsets of configurations and canonical partition functions",

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.",

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AU - Bloch, Jacques

AU - Bruckmann, Falk

AU - Kieburg, Mario

AU - Splittorff, K.

AU - Verbaarschot, J. J.M.

PY - 2013/2/19

Y1 - 2013/2/19

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84874072770

U2 - 10.1103/PhysRevD.87.034510

DO - 10.1103/PhysRevD.87.034510

M3 - Article

AN - SCOPUS:84874072770

SN - 1550-7998

VL - 87

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 3

M1 - 034510

ER -

Subsets of configurations and canonical partition functions

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