# Ruelle Zeta Function from Field Theory

title={Ruelle Zeta Function from Field Theory},
author={Charles Hadfield and Santosh Kandel and Michele Schiavina},
journal={Annales Henri Poincare},
year={2020},
volume={21},
pages={3835 - 3867}
}
• Published 10 February 2020
• Mathematics
• Annales Henri Poincare
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.

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