Exponential Decay of Loop Lengths in the Loop O(n) Model with Large n
نویسندگان
چکیده
منابع مشابه
EXPONENTIAL DECAY OF LOOP LENGTHS IN THE LOOP O(n) MODEL WITH LARGE n
The loop O(n) model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin O(n) model. It has been conjectured that both the spin and the loop O(n) models exhibit exponential decay of correlations when n > 2. We verify this for the loop O(n) model with large parameter n, showing that long loops ar...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2016
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-016-2815-4