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• W4322007918 startingPage "2081" @default.
• W4322007918 abstract "We consider a general system of interacting random loops which includes several models of interest, such as the Spin O(N) model, random lattice permutations, a version of the interacting Bose gas in discrete space and of the loop O(N) model. We consider the system in $mathbb{Z}^d$, $d geq 3$, and prove the occurrence of macroscopic loops whose length is proportional to the volume of the system. More precisely, we approximate $mathbb{Z}^d$ by finite boxes and, given any two vertices whose distance is proportional to the diameter of the box, we prove that the probability of observing a loop visiting both is uniformly positive. Our results hold under general assumptions on the interaction potential, which may have bounded or unbounded support or introduce hard-core constraints." @default.
• W4322007918 created "2023-02-26" @default.
• W4322007918 creator A5011864453 @default.
• W4322007918 creator A5058927254 @default.
• W4322007918 date "2023-02-25" @default.
• W4322007918 modified "2023-10-13" @default.
• W4322007918 title "Macroscopic Loops in the Bose Gas, Spin O(N) and Related Models" @default.
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• W4322007918 doi "https://doi.org/10.1007/s00220-023-04633-9" @default.
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