The paper constructs functional flat bundles with rational connections on infinite-dimensional manifolds to generalize Hamiltonian and renormalization group evolution in QFT, concluding spacetime notions emerge as spectral sets of functional differential operators.
On the Riemann–Hilbert–Birkhoff inverse monodromy problem and the Pain leve equations
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Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories
The paper constructs functional flat bundles with rational connections on infinite-dimensional manifolds to generalize Hamiltonian and renormalization group evolution in QFT, concluding spacetime notions emerge as spectral sets of functional differential operators.