标题： 玻色多体模型的小区域抛物流：第四部分 - 背景与临界场估计 显示英文标题

标题： The Small Field Parabolic Flow for Bosonic Many-body Models: Part 4 - Background and Critical Field Estimates

摘要： 本文是对在低温下三维晶格上弱相互作用多玻色子系统中对称性破缺的一个贡献。 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，我们证明了来自最陡下降攻击的背景场和临界场的存在性及界，而最陡下降攻击是我们在这些模型的重整化群步骤分析中的核心。 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 prove the existence of and bounds on the background and critical fields that arise from the steepest descent attack that is at the core of our renormalization group step anaylsis of these models.