Complex Bosonic Many-body Models: Overview of the Small Field Parabolic Flow
Tadeusz Balaban, Joel Feldman, Horst Kn\"orrer, Eugene Trubowitz
TL;DR
This paper reviews the analysis of a small field approximation to the parabolic flow in weakly interacting boson systems, highlighting the emergence of a Mexican hat potential well and its implications for symmetry breaking on a 3D lattice.
Contribution
It introduces a detailed overview of the small field parabolic flow analysis in bosonic many-body models, emphasizing the potential well formation related to symmetry breaking.
Findings
Identification of the Mexican hat potential in the flow dynamics
Insights into symmetry breaking mechanisms in bosonic systems
Framework for analyzing weakly interacting bosons on lattices
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 our analysis of the "small field" approximation to the "parabolic flow" which exhibits the formation of a "Mexican hat" potential well.
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