English

The Small Field Parabolic Flow for Bosonic Many-body Models: Part 2 - Fluctuation Integral and Renormalization

Mathematical Physics 2016-09-08 v1 math.MP

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 by "evaluating" the fluctuation integral and renormalizing the chemical potential.

Keywords

Cite

@article{arxiv.1609.01746,
  title  = {The Small Field Parabolic Flow for Bosonic Many-body Models: Part 2 - Fluctuation Integral and Renormalization},
  author = {Tadeusz Balaban and Joel Feldman and Horst Knörrer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:1609.01746},
  year   = {2016}
}

Comments

66 pages