Ruelle zeta function from field theory
Mathematical Physics
2020-09-29 v2 Algebraic Topology
Dynamical Systems
math.MP
Symplectic Geometry
Abstract
We propose a field-theoretic interpretation of Ruelle zeta function, and show how it can be seen as the partition function for 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.
Keywords
Cite
@article{arxiv.2002.03952,
title = {Ruelle zeta function from field theory},
author = {Charles Hadfield and Santosh Kandel and Michele Schiavina},
journal= {arXiv preprint arXiv:2002.03952},
year = {2020}
}
Comments
Accepted manuscript. Exposition improvements. 30 pages