We propose a field-theoretic interpretation of Ruelle zeta function and show how it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed. This suggests an alternative rephrasing of a conjecture due to Fried on the equivalence between Ruelle zeta function and analytic torsion, in terms of homotopies of Lagrangian submanifolds.

中文翻译：

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场论的Ruelle Zeta函数

我们提出了Ruelle zeta函数的场论解释，并展示了当在接触歧管上施加异常的量规固定条件时，如何将其视为高炉理论的分配函数。这表明，根据拉格朗日子流形的同态性，弗里德在鲁耶尔·泽塔函数和解析扭转之间的等价关系上，提出了另一种猜想改写。