79 citations · 1.2k across the 123 of their papers we have counts for
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Exact solution of Dyson-Schwinger equations for a scalar field theory
Marco Frasca
We exactly solve Dyson-Schwinger equations for a massless quartic scalar field theory. n-point functions are computed till n=4 and the exact propagator computed from the two-point…
Exact solutions of classical scalar field equations
Marco Frasca
We give a class of exact solutions of quartic scalar field theories. These solutions prove to be interesting as are characterized by the production of mass contributions arising fr…
Dual Lindstedt series and KAM theorem
Marco Frasca
We prove that exists a Lindstedt series that holds when a Hamiltonian is driven by a perturbation going to infinity. This series appears to be dual to a standard Lindstedt series a…
Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
Marco Frasca
We analyze a recent proposal to map a massless scalar field theory onto a Yang-Mills theory at classical level. It is seen that this mapping exists at a perturbative level when the…
Two-dimensional Ricci flow as a stochastic process
Marco Frasca
We prove that, for a two-dimensional Riemannian manifold, the Ricci flow is obtained by a Wiener process.