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arXiv · 2306.14681

Perturbative BF theory in axial, Anosov, gauge

Michele Schiavina·Thomas Stucker
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Abstract

The twisted Ruelle zeta function of a contact, Anosov vector field is shown to be equal, as a meromorphic function of the complex parameter $\hbar\in\mathbb{C}$ and up to a phase, to the partition function of an $\hbar$-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, $\hbar$-linear, perturbation, within a perturbative quantisation scheme for $BF$ theory, suitably generalised to work when propagators have distributional kernels.

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Michele Schiavina, Thomas Stucker. 2023-06-26. Perturbative BF theory in axial, Anosov, gauge. https://doi.org/10.1007/s00023-023-01410-1

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