Fetching the paper…

Reading the bibliography…

Simulating the All-Order Strong Coupling Expansion V: Ising Gauge Theory · Around

2012

Simulating the All-Order Strong Coupling Expansion V: Ising Gauge Theory

Korzec, Tomasz, Wolff, Ulli

Original
PDF
Post on X

Understand

We exactly rewrite the Z(2) lattice gauge theory with standard plaquette action as a random surface model equivalent to the untruncated set of its strong coupling graphs.

By extending the worm approach applied to spin models we simulate such surfaces including Polyakov line defects that randomly walk over the lattice.
Our Monte Carlo algorithms for the graph ensemble are reasonably efficient but not free of critical slowing down.
Polyakov line correlators can be measured in this approach with small relative errors that are independent of the separation.

Built on

O. Aharony and E. Karzbrun, On the effective action of confining strings
Original
1927
Earlier work this paper cites.
H. A. Kramers and G. H. Wannier, Statistics of the Two-Dimensional Ferromagnet. Part I
1941
Earlier work this paper cites.
G. ’t Hooft, A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories
1979
Earlier work this paper cites.
Q. Liu, Y. Deng, and T. M. Garoni, Worm Monte Carlo study of the honeycomb-lattice loop model
Original
1980
Earlier work this paper cites.
J. Arvis, The exact q anti-q potential in Nambu string theory
1983
Earlier work this paper cites.
T. Sterling and J. Greensite, Portraits of the flux tube in QED in three-dimensions: A Monte Carlo Simulation with external sources
1983
Earlier work this paper cites.
N. Prokof’ev and B. Svistunov, Worm Algorithms for Classical Statistical Models
Original
2001
Earlier work this paper cites.
M. Lüscher and P. Weisz, Quark confinement and the bosonic string
2002
Earlier work this paper cites.

Similar

M. Caselle, M. Hasenbusch, and M. Panero, String effects in the 3-d gauge Ising model
2003
Cited alongside, same era.
Y. Deng and H. W. Blöte, Simultaneous analysis of several models in the three-dimensional Ising universality class
2003
Cited alongside, same era.
M. Lüscher and P. Weisz, String excitation energies in SU(N) gauge theories beyond the free-string approximation
2004
Cited alongside, same era.
M. G. Endres, Method for simulating O(N) lattice models at finite density
2007
Cited alongside, same era.
U. Wolff, Simulating the All-Order Strong Coupling Expansion I: Ising Model Demo
Original
2009
Cited alongside, same era.
V. Azcoiti, E. Follana, A. Vaquero, and G. Di Carlo, Geometric Algorithm for Abelian-Gauge Models

Then

M. Hasenbusch, A Finite Size Scaling Study of Lattice Models in the 3D Ising Universality Class
Original
2010
Later among the works it cites.
Q.-Q. Liu, Y. Deng, T. M. Garoni, and H. W. Blöte, The O(n) loop model on a three-dimensional lattice
Original
2012
Closest in time.
C. Gattringer and A. Schmidt, Gauge and matter fields as surfaces and loops - an exploratory lattice study of the Z(3) Gauge-Higgs model
Original
2012
Closest in time.
M. Caselle and P. Grinza, On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs
Original
2012
Closest in time.
M. Billo, M. Caselle, and R. Pellegrini, New numerical results and novel effective string predictions for Wilson loops

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

U. Wolff, Strong coupling expansion Monte Carlo

2010

Cited alongside, same era.

T. Korzec and U. Wolff, A worm-inspired algorithm for the simulation of Abelian gauge theories

2010

Cited alongside, same era.

Y. Delgado, C. Gattringer, and A. Schmidt, Surface worm algorithm for abelian Gauge-Higgs systems on the lattice

Cited in the paper.

2012

Closest in time.

M. Hogervorst and U. Wolff, Finite size scaling and triviality of ϕ 4 \phi^{4} theory on an antiperiodic torus

2012

Closest in time.

M. Hasenbusch, Thermodynamic Casimir effect: Universality and Corrections to Scaling

2012

Closest in time.

Y. D. Mercado and C. Gattringer, Monte Carlo simulation of the SU(3) spin model with chemical potential in a flux representation

2012

Closest in time.