DLR Equations for the Superstable Bose Gas at any Temperature and Activity
Abstract
We construct a thermodynamic limit for the grand canonical Bose gas in dimension d≥slant1 (in its Feynman-Kac representation) with superstable interaction at any inverse temperature β>0 and any chemical potential μ∈R. Our infinite volume model is naturally a distribution over configurations of finite loops and possibly interlacements. We prove the limiting process to solve a new class of DLR equations involving random permutations and Brownian paths.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.