标题： 玻色多体模型的小区域抛物流：第一部分 - 主要结果与代数 显示英文标题

标题： The Small Field Parabolic Flow for Bosonic Many-body Models: Part 1 - Main Results and Algebra

摘要： 本文是对在低温下三维格子上的弱相互作用多玻色子系统中对称性破缺的程序的一个贡献。 它是对“小场”近似于“抛物流”的分析的一部分，该近似表现出“墨西哥帽”势阱的形成。 在这里，我们陈述此分析的主要结果，概述了使用重整化群流的证明策略，并进行了重整化群步骤的第一个代数部分。 显示英文摘要

摘要： 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 state the main result of this analysis, outline the strategy of the proof, which uses a renormalization group flow, and perform the first, algebraic, part of a renormalization group step.