Speaker
Hiromasa Takaura
Description
We establish a new connection between low-energy and high-energy theories utlizing the analyticity of physical observables and the inverse Laplace transform. We demonstrate that, starting from the low-energy expansion of a physical observable, equivalent to an effective field theoretical description, one can investigate the sign of the beta function and the dynamical scale of the UV theory, as long as a few assumptions are satisfied. We can also extrapolate physical observables to high energies far beyond the cutoff of the low-energy expansion.
