标题： 块自旋重正化群变换的代数 显示英文标题

标题： The Algebra of Block Spin Renormalization Group Transformations

摘要： 块自旋重整化群是我们程序中用于在低温下观察三维晶格上弱相互作用多玻色子系统对称性破缺的主要工具。 在本文中，我们在抽象设置中讨论了其一些纯粹代数方面的内容。 例如，我们推导了一些“众所周知”的恒等式，如组合规则以及临界场与背景场之间的关系。 显示英文摘要

摘要： Block spin renormalization group is the main tool used in our program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. In this paper, we discuss some of its purely algebraic aspects in an abstract setting. For example, we derive some "well known" identities like the composition rule and the relation between critical fields and background fields.