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Surface worm algorithm for abelian Gauge-Higgs systems on the lattice · Around

2012

Surface worm algorithm for abelian Gauge-Higgs systems on the lattice

Delgado, Ydalia, Gattringer, Christof, Schmidt, Alexander

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The Prokof'ev Svistunov worm algorithm was originally developed for models with nearest neighbor interactions that in a high temperature expansion are mapped to systems of closed loops.

In this work we present the surface worm algorithm (SWA) which is a generalization of the worm algorithm concept to abelian Gauge-Higgs models on a lattice which can be mapped to systems of surfaces and loops (dual representation).
Using Gauge-Higgs models with gauge groups Z(3) and U(1) we compare the SWA to the conventional approach and to a local update in the dual representation.
For the Z(3) case we also consider finite chemical potential where the conventional representation has a sign problem which is overcome in the dual representation.

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D.P. Landau, K. Binder,
Original
2000
Earlier work this paper cites.
N. Prokof’ev and B. Svistunov, Phys. Rev. Lett. 87 (2001) 160601
2001
Earlier work this paper cites.
J.M. Drouffe and C. Itzykson, Phys. Rept. 38 (1978) 133. J.M. Drouffe and J.B. Zuber, Phys. Rept. 102 (1983) 1. R. Anishetty and H.S. Sharatchandra, Phys. Rev. Lett. 65 (1990) 813. N.D. Hari Dass, Nucl. Phys. Proc. Suppl. 83 (2000) 950 [hep-lat/9908049]. I.G. Halliday and P. Suranyi, Phys. Lett. B 350 (1995) 189 [hep-lat/9412110]. J.W. Cherrington, D. Christensen and I. Khavkine, Phys. Rev. D 76 (2007) 094503 [arXiv:0705.2629 [hep-lat]]. J.W. Cherrington, arXiv:0910.1890 [hep-lat]. H. Pfeiffer and R. Oeckl, Nucl. Phys. Proc. Suppl. 106 (2002) 1010 [hep-lat/0110034]
Original
2002
Earlier work this paper cites.
M.G. Endres, Phys. Rev. D 75 (2007) 065012 [hep-lat/0610029]; PoS LAT 2006, 133 (2006), [hep-lat/0609037]
2006
Earlier work this paper cites.

Similar

Y. Deng, T.M. Garoni and A.D. Sokal, Phys. Rev. Lett. 99 (2007) 110601 [cond-mat/0703787 [cond-mat.stat-mech]]
2007
Cited alongside, same era.
S. Chandrasekharan, PoS LATTICE 2008 (2008) 003 [arXiv:0810.2419 [hep-lat]]
Original
2008
Cited alongside, same era.
F. Karsch and K.H. Mütter, Nucl. Phys. B 313 (1989) 541. S. Chandrasekharan and F.J. Jiang, Phys. Rev. D 68 (2003) 091501, [arXiv:hep-lat/0309025]. D.H. Adams and S. Chandrasekharan, Nucl. Phys. B 662 (2003) 220, [arXiv:hep-lat/0303003]. P. de Forcrand and M. Fromm, Phys. Rev. Lett. 104 (2010) 112005 [arXiv:0907.1915]. W. Unger and P. de Forcrand, J. Phys. G 38 (2011) 124190 [arXiv:1107.1553 [hep-lat]]. V. Maillart and U. Wenger, PoS LATTICE 2010 (2010) 257 [arXiv:1104.0569 [hep-lat]]. U. Wenger, Phys. Rev. D 80 (2009) 071503 [arXiv:0812.3565 [hep-lat]]. S. Chandrasekharan and A. Li, JHEP 1101 (2011) 018 [arXiv:1008.5146]; Phys. Rev. D 85, 091502 (2012) [arXiv:1202.6572 [hep-lat]]; Phys. Rev. Lett. 108, 140404 (2012) [arXiv:1111.7204 [hep-lat]]; PoS LATTICE 2011 (2011) 058 [arXiv:1111.5276 [hep-lat]]. S. Chandrasekharan, Phys. Rev. D 82 (2010) 025007 [arXiv:0910.5736 [hep-lat]]. U. Wolff, Nucl. Phys. B 789 (2008) 258, [arXiv:0707.2872]; Nucl. Phys. B 814, 549 (2009), [arXiv:0812.0677]. O. Bär, W. Rath and U. Wolff, Nucl. Phys. B 822, 408 (2009), [arXiv:0905.4417]. M. Fromm, J. Langelage, S. Lottini and O. Philipsen, JHEP 1201, 042 (2012) [arXiv:1111.4953 [hep-lat]]; arXiv:1207.3005 [hep-lat]
Original
2009
Cited alongside, same era.
T. Sterling and J. Greensite, Nucl. Phys. B 220, 327 (1983). M. Panero, JHEP 0505, 066 (2005), [hep-lat/0503024]. T. Korzec and U. Wolff, PoS LATTICE 2010 (2010) 029 [arXiv:1011.1359 [hep-lat]]. V. Azcoiti, E. Follana, A. Vaquero and G. Di Carlo, JHEP 0908 (2009) 008 [arXiv:0905.0639 [hep-lat]]
Original
2009
Cited alongside, same era.
Y. Delgado, C. Gattringer and A. Schmidt, in preparation
Cited in the paper.

Then

M. Hogervorst and U. Wolff, Nucl. Phys. B 855, 885 (2012), [arXiv:1109.6186]. T. Korzec, I. Vierhaus and U. Wolff, Comput. Phys. Commun. 182, 1477 (2011), [arXiv:1101.3452]. P. Weisz and U. Wolff, Nucl. Phys. B 846 316 (2011), [arXiv:1012.0404]. U. Wolff, Nucl. Phys. B 832, 520 (2010), [arXiv:1001.2231]; Nucl. Phys. B 824, 254 (2010) [Erratum-ibid. 834, 395 (2010)], [arXiv:0908.0284]. C. Gattringer and T. Kloiber, arXiv:1206.2954 [hep-lat]
Original
2010
Later among the works it cites.
Y. Delgado, H.G. Evertz and C. Gattringer, Comput. Phys. Commun. 183 (2012) 1920 [arXiv:1202.4293 [hep-lat]]. Y. Delgado, H.G. Evertz and C. Gattringer, Phys. Rev. Lett. 106 (2011) 222001 [arXiv:1102.3096 [hep-lat]]
Original
2011
Later among the works it cites.
C. Gattringer and A. Schmidt, Phys. Rev. D 86 (2012) 094506 [arXiv:1208.6472 [hep-lat]]. A. Schmidt, Y. Delgado and C. Gattringer, PoS LATTICE 2012 (2012) 098 [arXiv:1211.1573 [hep-lat]]
Original
2012
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