7 citations · 13 across the 9 of their papers we have counts for
10 papers
Renormalon Saddles in the OPE
Arindam Bhattacharya, Jordan Cotler, Aurélien Dersy +1
The cancellation of renormalon ambiguities in the operator product expansion is usually formulated as a matching between perturbative Borel ambiguities and prescription dependence…
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…
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…
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…
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…
The Collective Coordinate Fix
Arindam Bhattacharya, Jordan Cotler, Aurélien Dersy +1
Collective coordinates are frequently employed in path integrals to manage divergences caused by fluctuations around saddle points that align with classical symmetries. These coord…
Reconstructing -matrix Phases with Machine Learning
Aurélien Dersy, Matthew D. Schwartz, Alexander Zhiboedov
An important element of the -matrix bootstrap program is the relationship between the modulus of an -matrix element and its phase. Unitarity relates them by an integral equat…
The Quantum Perfect Fluid in 2D
Aurélien Dersy, Andrei Khmelnitsky, Riccardo Rattazzi
We consider the field theory that defines a perfect incompressible 2D fluid. One distinctive property of this system is that the quadratic action for fluctuations around the ground…
Simplifying Polylogarithms with Machine Learning
Aurélien Dersy, Matthew D. Schwartz, Xiaoyuan Zhang
Polylogrithmic functions, such as the logarithm or dilogarithm, satisfy a number of algebraic identities. For the logarithm, all the identities follow from the product rule. For th…