Feynman diagrams and large order estimates for the exponential anharmonic oscillator
Feynman maps, Cameron-Martin formulae and anharmonic oscillators
Feynman path integral as spectral decomposition
Feynman path integrals on phase space and the metaplectiv representation.
From multi-instantons to exact results
In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...
Functional integration for euclidean Dirac fields