Solution of the sign problem in the Potts model at fixed fermion number
Abstract
We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a three-state Potts model. In the strong-coupling limit, the model is free of the sign problem. Away from the strong coupling, the sign problem is solved by employing a cluster algorithm which allows to average each cluster over the $$\mathbb{Z}(3)$$ sectors. Improved estimators for physical quantities can be constructed by taking into account the triality of the clusters, that is, their transformation properties with respect to $$\mathbb{Z}(3)$$ transformations.
- Authors:
- Publication Date:
- Research Org.:
- George Washington Univ., Washington, DC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); German Research Foundation (DFG)
- OSTI Identifier:
- 1440388
- Alternate Identifier(s):
- OSTI ID: 1501518
- Grant/Contract Number:
- FG02-95ER40907; BE 5942/2-1
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Particles & Fields; Statistical Physics; Nuclear Physics
Citation Formats
Alexandru, Andrei, Bergner, Georg, Schaich, David, and Wenger, Urs. Solution of the sign problem in the Potts model at fixed fermion number. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.114503.
Alexandru, Andrei, Bergner, Georg, Schaich, David, & Wenger, Urs. Solution of the sign problem in the Potts model at fixed fermion number. United States. https://doi.org/10.1103/PhysRevD.97.114503
Alexandru, Andrei, Bergner, Georg, Schaich, David, and Wenger, Urs. Tue .
"Solution of the sign problem in the Potts model at fixed fermion number". United States. https://doi.org/10.1103/PhysRevD.97.114503.
@article{osti_1440388,
title = {Solution of the sign problem in the Potts model at fixed fermion number},
author = {Alexandru, Andrei and Bergner, Georg and Schaich, David and Wenger, Urs},
abstractNote = {We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a three-state Potts model. In the strong-coupling limit, the model is free of the sign problem. Away from the strong coupling, the sign problem is solved by employing a cluster algorithm which allows to average each cluster over the $\mathbb{Z}(3)$ sectors. Improved estimators for physical quantities can be constructed by taking into account the triality of the clusters, that is, their transformation properties with respect to $\mathbb{Z}(3)$ transformations.},
doi = {10.1103/PhysRevD.97.114503},
journal = {Physical Review. D.},
number = 11,
volume = 97,
place = {United States},
year = {Tue Jun 05 00:00:00 EDT 2018},
month = {Tue Jun 05 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.114503
https://doi.org/10.1103/PhysRevD.97.114503
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
On the random-cluster model
journal, February 1972
- Fortuin, C. M.; Kasteleyn, P. W.
- Physica, Vol. 57, Issue 4
Subset method for one-dimensional QCD
journal, October 2013
- Bloch, Jacques; Bruckmann, Falk; Wettig, Tilo
- Journal of High Energy Physics, Vol. 2013, Issue 10
The three-dimensional, three-state Potts model in an external field
journal, September 2000
- Karsch, Frithjof; Stickan, Sven
- Physics Letters B, Vol. 488, Issue 3-4
Efficient simulation of the random-cluster model
journal, September 2013
- Elçi, Eren Metin; Weigel, Martin
- Physical Review E, Vol. 88, Issue 3
General Cluster Updating Method for Monte Carlo Simulations
journal, October 1988
- Niedermayer, Ferenc
- Physical Review Letters, Vol. 61, Issue 18
Phase structure of QCD at high temperature with massive quarks and finite quark density: A Z(3) paradigm
journal, December 1983
- Degrand, T. A.; Detar, C. E.
- Nuclear Physics B, Vol. 225, Issue 4
A flux tube model of the finite temperature deconfining transition in QCD
journal, September 1984
- Patel, Apoorva
- Nuclear Physics B, Vol. 243, Issue 3
Meron-cluster approach to systems of strongly correlated electrons
journal, December 2003
- Chandrasekharan, S.; Cox, J.; Osborn, J. C.
- Nuclear Physics B, Vol. 673, Issue 3
QCD Phase Diagram According to the Center Group
journal, June 2011
- Mercado, Ydalia Delgado; Evertz, Hans Gerd; Gattringer, Christof
- Physical Review Letters, Vol. 106, Issue 22
Critical acceleration of finite-temperature SU(2) gauge simulations
journal, November 1991
- Ben-Av, Radel; Evertz, Hans Gerd; Marcu, Mihail
- Physical Review D, Vol. 44, Issue 10
Effects of quarks on SU(N) deconfinement phase transitions
journal, December 1983
- Bartholomew, John; Hochberg, David; Damgaard, Poul H.
- Physics Letters B, Vol. 133, Issue 3-4
Nonuniversal critical dynamics in Monte Carlo simulations
journal, January 1987
- Swendsen, Robert H.; Wang, Jian-Sheng
- Physical Review Letters, Vol. 58, Issue 2
Density of states method for the spin model
journal, July 2015
- Gattringer, Christof; Törek, Pascal
- Physics Letters B, Vol. 747
Meron-Cluster Solution of Fermion Sign Problems
journal, October 1999
- Chandrasekharan, Shailesh; Wiese, Uwe-Jens
- Physical Review Letters, Vol. 83, Issue 16
Dynamic connectivity algorithms for Monte Carlo simulations of the random-cluster model
journal, May 2014
- Elçi, Eren Metin; Weigel, Martin
- Journal of Physics: Conference Series, Vol. 510
The SU(3) deconfinement phase transition in the presence of quarks
journal, December 1983
- Hasenfratz, P.; Karsch, F.; Stamatescu, I. O.
- Physics Letters B, Vol. 133, Issue 3-4
Solution of the complex action problem in the Potts model for dense QCD
journal, May 2001
- Alford, M.; Chandrasekharan, S.; Cox, J.
- Nuclear Physics B, Vol. 602, Issue 1-2
Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spanning tree, 2-edge, and biconnectivity
journal, July 2001
- Holm, Jacob; de Lichtenberg, Kristian; Thorup, Mikkel
- Journal of the ACM, Vol. 48, Issue 4
Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm
journal, October 1976
- Hoshen, J.; Kopelman, R.
- Physical Review B, Vol. 14, Issue 8
Positivity of center subsets for QCD
journal, January 2016
- Bloch, Jacques; Bruckmann, Falk
- Physical Review D, Vol. 93, Issue 1
Potts flux tube model at nonzero chemical potential
journal, March 2000
- Condella, Jac; DeTar, Carleton
- Physical Review D, Vol. 61, Issue 7
Worm algorithms for the 3-state Potts model with magnetic field and chemical potential
journal, September 2012
- Mercado, Ydalia Delgado; Evertz, Hans Gerd; Gattringer, Christof
- Computer Physics Communications, Vol. 183, Issue 9
Some generalized order-disorder transformations
journal, January 1952
- Potts, R. B.
- Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 48, Issue 1
Monte Carlo study of weighted percolation clusters relevant to the Potts models
journal, April 1983
- Sweeny, Mark
- Physical Review B, Vol. 27, Issue 7