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.
Methods in the Theory of Hereditarily Indecomposable Banach Spaces ; American Mathematical Society: Providence, RI, USA, 2004; V olume 170
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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.