Journal article icon

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...

Expand abstract
Publication status:
Published

Actions


Access Document


Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Ortuño, M More by this author
Somoza, AM More by this author
Journal:
Physical review letters
Volume:
111
Issue:
10
Pages:
100601
Publication date:
2013-09-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:3f7021b3-f3a9-4467-9eee-74cc2d22e36b
Source identifiers:
416231
Local pid:
pubs:416231
Language:
English
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP