标题： 阿贝尔BF理论与纽结不变量 显示英文标题

标题： Abelian BF Theories and Knot Invariants

摘要： 在巴塔林-维克托夫斯基形式主义的背景下，提出了一种阿贝尔BF理论的新可观测量，其真空期望值与亚历山大-康威多项式相关。三维情况被明确分析，并证明其无异常。此外，在微扰理论的二阶中，得到了亚历山大-康威多项式第二系数的新公式。还给出了高维推广的说明。 显示英文摘要

摘要： In the context of the Batalin-Vilkovisky formalism, a new observable for the Abelian BF theory is proposed whose vacuum expectation value is related to the Alexander-Conway polynomial. The three-dimensional case is analyzed explicitly, and it is proved to be anomaly free. Moreover, at the second order in perturbation theory, a new formula for the second coefficient of the Alexander-Conway polynomial is obtained. An account on the higher-dimensional generalizations is also given.