The Small Field Parabolic Flow for Bosonic Many-body Models: Part 2 - Fluctuation Integral and Renormalization
Tadeusz Balaban, Joel Feldman, Horst Kn\"orrer, Eugene Trubowitz
TL;DR
This paper advances the understanding of symmetry breaking in weakly interacting bosonic systems by completing a renormalization group analysis of the small field approximation, focusing on fluctuation integrals and chemical potential renormalization.
Contribution
It provides a detailed analysis of the fluctuation integral and renormalization of the chemical potential within the small field parabolic flow framework for bosonic many-body models.
Findings
Successful evaluation of the fluctuation integral
Renormalization of the chemical potential achieved
Insights into symmetry breaking mechanisms in bosonic systems
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.