Abstract
This paper is a contribution to a program to see symmetry breaking in a weakly interacting many boson system on a three-dimensional lattice at low temperature. It provides an overview of the analysis, given in Balaban et al. (The small field parabolic flow for bosonic many-body models: part 1—main results and algebra,
arXiv:1609.01745
, 2016, The small field parabolic flow for bosonic many-body models: part 2—fluctuation integral and renormalization,
arXiv:1609.01746
, 2016), of the ‘small field’ approximation to the ‘parabolic flow’ which exhibits the formation of a ‘Mexican hat’ potential well.