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@ARTICLE{Janke:7547,
      author       = {Janke, W. and Neuhaus, T. and Schakel, A.M.J.},
      title        = {{C}ritical loop gases and the worm algorithm},
      journal      = {Nuclear physics / B},
      volume       = {829},
      issn         = {0550-3213},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {PreJuSER-7547},
      pages        = {573 - 599},
      year         = {2010},
      note         = {Work supported in part by the Deutsche
                      Forschungsgemeinschaft (DFG) under grant No. JA483/23-2 and
                      the EU RTN-Network 'ENRAGE': "Random Geometry and Random
                      Matrices: From Quantum Gravity to Econophysics" under grant
                      No. MRTN-CT-2004-005616.},
      abstract     = {The loop gas approach to lattice field theory provides an
                      alternative, geometrical description in terms of fluctuating
                      loops. Statistical ensembles of random loops can be
                      efficiently generated by Monte Carlo simulations using the
                      worm update algorithm. In this paper, concepts from
                      percolation theory and the theory of self-avoiding random
                      walks are used to describe estimators of physical
                      observables that utilize the nature of the worm algorithm.
                      The fractal structure of the random loops as well as their
                      scaling properties are studied. To Support this approach,
                      the O(1) loop model, or high-temperature series expansion of
                      the Ising model, is simulated on a honeycomb lattice, with
                      its known exact results providing valuable benchmarks. (C)
                      2009 Elsevier B.V. All rights reserved.},
      keywords     = {J (WoSType)},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411},
      shelfmark    = {Physics, Particles $\&$ Fields},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000274945800008},
      doi          = {10.1016/j.nuclphysb.2009.12.024},
      url          = {https://juser.fz-juelich.de/record/7547},
}