Built on

W. E. Clark, The Aryabhatiya of Aryabhata: An Ancient Indian Work On Mathematics And Astronomy (The University of Chicago Press, Chicago, 1930)
1930
Earlier work this paper cites.
P. Hasenfratz and F. Karsch, “Chemical potential on the lattice,” Phys. Lett. B125
1983
Earlier work this paper cites.
P. Rossi and U. Wolff, “Lattice QCD with fermions at strong coupling: A dimer system,” Nucl. Phys. B248
1984
Earlier work this paper cites.
A. Roberge and N. Weiss, “Gauge theories with imaginary chemical potential and the phases of QCD,” Nucl. Phys. B275
1986
Earlier work this paper cites.
N. Bilic and K. Demeterfi, “One-dimensional QCD with finite chemical potential,” Phys. Lett. B212
1988
Earlier work this paper cites.
F. Karsch and K.-H. Mütter, “Strong coupling QCD at finite baryon number density,” Nucl. Phys. B313
1989
Earlier work this paper cites.

Similar

J. B. Kogut, M. A. Stephanov, D. Toublan, J. J. M. Verbaarschot, and A. Zhitnitsky, “QCD-like theories at finite baryon density,” Nucl. Phys. B582
2000
Cited alongside, same era.
S. Hands, I. Montvay, S. Morrison, M. Oevers, L. Scorzato, and J. Skullerud, “Numerical study of dense adjoint matter in two color QCD,” Eur. Phys. J. C17
2000
Cited alongside, same era.
P. de Forcrand, S. Kim, and T. Takaishi, “QCD simulations at small chemical potential,” Nucl. Phys. B - Proc. Suppl. 119
2003
Cited alongside, same era.
L. Ravagli and J.J.M. Verbaarschot, “QCD in one dimension at nonzero chemical potential,” Phys. Rev. D76
Original
2007
Cited alongside, same era.
P. de Forcrand, “Simulating QCD at finite density,” PoS LAT2009
Original
2009

Then

J. Bloch, “Evading the sign problem in random matrix simulations,” Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
J. Bloch, “A subset solution to the sign problem in random matrix simulations,” Phys. Rev. D86
Original
2012
Later among the works it cites.
A. Maas, L. von Smekal, B. Wellegehausen, and A. Wipf, “The phase diagram of a gauge theory with fermionic baryons,” Phys. Rev. D86
Original
2012
Later among the works it cites.
C. Gattringer, “New developments for dual methods in lattice field theory at non-zero density,” PoS LATTICE2013
Original
2014
Later among the works it cites.
G. Aarts, “Recent developments at finite density on the lattice,” PoS CPOD2014

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2015

Positivity of center subsets for QCD

Bloch, Jacques, Bruckmann, Falk

Understand

We further pursue an approach to the sign problem of quantum chromodynamics at nonzero chemical potential, in which configurations of the lattice path integral are gathered into subsets.

In the subset construction we multiply each temporal link by center elements independently and in a first step neglect the gauge action.
The positivity of the subset weights -- shown for 0+1 dimensions in an earlier study -- extends to larger lattices: for two sites in the temporal direction and arbitrary spatial extent we give a proof of the positivity by decomposing the subset weight in positive summands.
From numerical evidence we conjecture that the positivity persists on larger lattices and that the gauge action can be reintroduced through mild reweighting.

Built on

W. E. Clark, The Aryabhatiya of Aryabhata: An Ancient Indian Work On Mathematics And Astronomy (The University of Chicago Press, Chicago, 1930)
1930
Earlier work this paper cites.
P. Hasenfratz and F. Karsch, “Chemical potential on the lattice,” Phys. Lett. B125
1983
Earlier work this paper cites.
P. Rossi and U. Wolff, “Lattice QCD with fermions at strong coupling: A dimer system,” Nucl. Phys. B248
1984
Earlier work this paper cites.
A. Roberge and N. Weiss, “Gauge theories with imaginary chemical potential and the phases of QCD,” Nucl. Phys. B275
1986
Earlier work this paper cites.
N. Bilic and K. Demeterfi, “One-dimensional QCD with finite chemical potential,” Phys. Lett. B212
1988
Earlier work this paper cites.
F. Karsch and K.-H. Mütter, “Strong coupling QCD at finite baryon number density,” Nucl. Phys. B313
1989
Earlier work this paper cites.

Similar

J. B. Kogut, M. A. Stephanov, D. Toublan, J. J. M. Verbaarschot, and A. Zhitnitsky, “QCD-like theories at finite baryon density,” Nucl. Phys. B582
2000
Cited alongside, same era.
S. Hands, I. Montvay, S. Morrison, M. Oevers, L. Scorzato, and J. Skullerud, “Numerical study of dense adjoint matter in two color QCD,” Eur. Phys. J. C17
2000
Cited alongside, same era.
P. de Forcrand, S. Kim, and T. Takaishi, “QCD simulations at small chemical potential,” Nucl. Phys. B - Proc. Suppl. 119
2003
Cited alongside, same era.
L. Ravagli and J.J.M. Verbaarschot, “QCD in one dimension at nonzero chemical potential,” Phys. Rev. D76
Original
2007
Cited alongside, same era.
P. de Forcrand, “Simulating QCD at finite density,” PoS LAT2009
Original
2009

Then

J. Bloch, “Evading the sign problem in random matrix simulations,” Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
J. Bloch, “A subset solution to the sign problem in random matrix simulations,” Phys. Rev. D86
Original
2012
Later among the works it cites.
A. Maas, L. von Smekal, B. Wellegehausen, and A. Wipf, “The phase diagram of a gauge theory with fermionic baryons,” Phys. Rev. D86
Original
2012
Later among the works it cites.
C. Gattringer, “New developments for dual methods in lattice field theory at non-zero density,” PoS LATTICE2013
Original
2014
Later among the works it cites.
G. Aarts, “Recent developments at finite density on the lattice,” PoS CPOD2014

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

J. Bloch, F. Bruckmann, M. Kieburg, K. Splittorff, and J.J.M. Verbaarschot, “Subsets of configurations and canonical partition functions,” Phys. Rev. D87

Original

Cited in the paper.

J. Bloch, F. Bruckmann, and T. Wettig, “Subset method for one-dimensional QCD,” JHEP 1310

Original

Cited in the paper.

J. Bloch and F. Bruckmann, “Diagrammatics of center subsets for QCD,” In preparation

Cited in the paper.

Original

2014

Later among the works it cites.