抛物块自旋变换算子
Operators for Parabolic Block Spin Transformations
摘要:
本文是对三维格点上弱相互作用多玻色子系统在低温下对称性破缺程序的贡献。这是一个分析的“小场”近似的“抛物线流”,表现出形成一个“墨西哥帽”的势阱。涨落积分协方差的界,以及其他一些线性算子,是我们的重整化群步骤分析的一个重要组成部分。这些边界在这里得到证明。
英文摘要:
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. Bounds on the fluctuation integral covariance, as well as on some other linear operators, are an important ingredient in our renormalization group step analysis. These bounds are proven here.
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