标题： 关于阿贝尔多 Chern-Simons 场论 显示英文标题

标题： On Abelian Multi-Chern-Simons Field Theories

摘要： 本文研究了一类与聚合物系统统计力学有关的多Chern-Simons场论。 受处理这些理论时遇到的问题的启发，提出了一种通用方法来从其作用量中消除Chern-Simons场。 通过这种方式，得出了拓扑连接聚合物的配分函数的表达式，该表达式明确依赖于拓扑数，并且不像以前的方法那样具有难以处理的非局域项。 然后利用新的多Chern-Simons场论表述消除了拓扑连接聚合物场论模型中似乎存在的某些不一致性和歧义。 最后，讨论了解缠聚合物的极限情况。 显示英文摘要

摘要： In this paper a class of multi-Chern-Simons field theories which is relevant to the statistical mechanics of polymer systems is investigated. Motivated by the problems which one encounters in the treatment of these theories, a general procedure is presented to eliminate the Chern-Simons fields from their action. In this way it has been possible to derive an expression of the partition function of topologically linked polymers which depends explicitly on the topological numbers and does not have intractable nonlocal terms as it happened in previous approaches. The new formulation of multi-Chern-Simons field theories is then used to remove and clarify some inconsistencies and ambiguities which apparently affect field theoretical models of topologically linked polymers. Finally, the limit of disentangled polymers is discussed.