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 is part of an analysis of the “small field” approximation to the “parabolic flow” which exhibits the formation of a “Mexican hat” potential well. Here we complete the analysis of a renormalization group step, started in Balaban et al. (Annales Henri Poincare, 2019), by “evaluating” the fluctuation integral and renormalizing the chemical potential.

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