A remark about pointed bubbles
A remark about pointed bubbles
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关于尖气泡的评论
DOI：
10.1002/cpa.3160380510
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发表时间：
1985
影响因子：
3
通讯作者：
P. Garabedian
中科院分区：
文献类型：
--
作者：
P. Garabedian
高分子展开式是统计物理问题中配分函数与对数之间的形式代数恒等式。该扩展给出了一种系统的方法来控制自由能或建立指数树图衰减的连接的相关性。在这里，聚合物展开的收敛性进行了分析，结合三个实际的例子，包括：化学聚合物链中的交叉键;连接的封闭超曲面建立的（d-1）-面的d维单位立方体;和一组费纳图的欧几里德场理论配分函数Z的扰动系列。连接的聚合物链的例子一般适用于其他晶格模型，包括n-状态伊辛模型在高温下，短程晶格气体在高温下，和弱耦合晶格场和规范理论。
The polymer expansion is a formal algebraic identity between a partition function and logarithm in statistical physics problems. The expansion gives a systematic method to control the free energy or to establish exponential tree-graph decay of connected correlations. Here, the convergence properties of the polymer expansion are analyzed in connection with three practical examples, including: intersecting bonds in chemical polymer chains; a connected closed hypersurface built from the (d-1)-faces of the d-dimensional unit cubes; and the set of Feynamn diagrams in the perturbation series of the Euclidean field theory partition function Z. The example of connected polymer chains is generalized to apply to other lattice models, including n-state Ising models at high temperature; short range lattice gases at high temperature; and weak coupling lattice field and gauge theories.