Abstract
AbstractThe twisted Ruelle zeta function of a contact, Anosov vector field, is shown to be equal, as a meromorphic function of the complex parameter $$\hbar \in \mathbb {C}$$
ħ
∈
C
and up to a phase, to the partition function of an $$\hbar $$
ħ
-linear quadratic perturbation of BF theory, using an “axial” gauge fixing condition given by the Anosov vector field. Equivalently, it is also obtained as the expectation value of the same quadratic, $$\hbar $$
ħ
-linear, perturbation, within a perturbative quantisation scheme for BF theory, suitably generalised to work when propagators have distributional kernels.
Funder
Istituto Nazionale di Fisica Nucleare
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
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