Journal article
Length distributions in loop soups.
- Abstract:
-
Statistical lattice ensembles of loops in three or more dimensions typically have phases in which the longest loops fill a finite fraction of the system. In such phases it is natural to ask about the distribution of loop lengths. We show how to calculate moments of these distributions using CP(n-1) or RP(n-1) and O(n) σ models together with replica techniques. The resulting joint length distribution for macroscopic loops is Poisson-Dirichlet with a parameter θ fixed by the loop fugacity and b...
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- Publication status:
- Published
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- Publisher copy:
- 10.1103/physrevlett.111.100601
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Authors
Bibliographic Details
- Journal:
- Physical Review Letters
- Volume:
- 111
- Issue:
- 10
- Pages:
- 100601
- Publication date:
- 2013-09-01
- DOI:
- EISSN:
-
1079-7114
- ISSN:
-
0031-9007
- Source identifiers:
-
416231
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:416231
- UUID:
-
uuid:3f7021b3-f3a9-4467-9eee-74cc2d22e36b
- Local pid:
- pubs:416231
- Deposit date:
- 2013-11-17
Terms of use
- Copyright date:
- 2013
- Notes:
- 4.5 pages
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