Subsets of configurations and canonical partition functions

Jacques Bloch, Falk Bruckmann, Mario Kieburg, K. Splittorff, and J. J. M. Verbaarschot
Phys. Rev. D 87, 034510 – Published 19 February 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.

  • Received 23 November 2012

DOI:https://doi.org/10.1103/PhysRevD.87.034510

© 2013 American Physical Society

Authors & Affiliations

Jacques Bloch and Falk Bruckmann

  • Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany

Mario Kieburg

  • Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794, USA

K. Splittorff

  • Discovery Center, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

J. J. M. Verbaarschot

  • Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794, USA

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Issue

Vol. 87, Iss. 3 — 1 February 2013

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