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},
  pages={3835 - 3867}
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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