Universal behaviour of 3D loop soup models

  title={Universal behaviour of 3D loop soup models},
  author={Daniel Ueltschi},
  journal={arXiv: Statistical Mechanics},
  • Daniel Ueltschi
  • Published 2017
  • Physics, Mathematics
  • arXiv: Statistical Mechanics
  • These notes describe several loop soup models and their {\it universal behaviour} in dimensions greater or equal to 3. These loop models represent certain classical or quantum statistical mechanical systems. These systems undergo phase transitions that are characterised by changes in the structures of the loops. Namely, long-range order is equivalent to the occurrence of macroscopic loops. There are many such loops, and the joint distribution of their lengths is always given by a {\it Poisson… CONTINUE READING


    Publications citing this paper.