This title appears in the Scientific Report :
2010
Please use the identifier:
http://dx.doi.org/10.1016/j.nuclphysb.2009.12.024 in citations.
Please use the identifier: http://hdl.handle.net/2128/21259 in citations.
Critical loop gases and the worm algorithm
Critical loop gases and the worm algorithm
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...
Saved in:
Personal Name(s): | Janke, W. |
---|---|
Neuhaus, T. / Schakel, A.M.J. | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: |
Nuclear physics |
Imprint: |
Amsterdam
North-Holland Publ. Co.
2010
|
Physical Description: |
573 - 599 |
DOI: |
10.1016/j.nuclphysb.2009.12.024 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods Scientific Computing |
Series Title: |
Nuclear Physics B
829 |
Subject (ZB): | |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/21259 in citations.
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. |