5 papers
The Double Well Done Doubly-Well
Aurélien Dersy, Matthew D. Schwartz
The symmetric double-well potential is one of the simplest quantum-mechanical systems in which perturbative and non-perturbative physics are deeply entangled. Its energy levels hav…
Renormalons as Saddle Points
Arindam Bhattacharya, Jordan Cotler, Aurélien Dersy +1
Instantons and renormalons play important roles at the interface between perturbative and non-perturbative quantum field theory. They are both associated with branch points in the…
Beyond the Dilute Instanton Gas: Resurgence with Exact Saddles in the Double Well
Aurélien Dersy, Matthew D. Schwartz
The path-integral approach to the double well has long been limited by the dilute instanton gas approximation. We show that if the finite Euclidean-time structure is taken seriousl…
Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling
Oscar Barrera, Aurélien Dersy, Rabia Husain +2
In mathematics or theoretical physics one is often interested in obtaining an exact analytic description of some data which can be produced, in principle, to arbitrary accuracy. Fo…
Learning the Simplicity of Scattering Amplitudes
Clifford Cheung, Aurélien Dersy, Matthew D. Schwartz
The simplification and reorganization of complex expressions lies at the core of scientific progress, particularly in theoretical high-energy physics. This work explores the applic…