6 papers
Statistical Characterization of Erratic and Chaotic Processes through Their Extrema I. Thermodynamics
Jacob Sonnenschein
We propose a general statistical framework for characterizing erratic functions through the statistics of their extrema, with the aim of identifying statistical signatures associat…
Higher-dimensional chaotic features and random matrix signatures following a local quench
Dmitry S. Ageev, Jacob Sonnenschein
We study the multidimensional erratic structure of correlation functions produced by local operator quenches in finite-volume free massive scalar field theory in dimensions 2 and 3…
Multi-dimensional chaos II: String scattering amplitudes, curve repulsion, and RMT
Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein +1
Multi-dimensional chaos refers to processes described by erratic functions of several dynamical variables. In this letter we analyze the string scattering amplitudes of highly-exci…
Multi-dimensional chaos I: Classical and quantum mechanics
Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein +1
We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpreta…
On Chaos in QFT
Jacob Sonnenschein, Nadav Shrayer
In this note we explore the chaotic behavior of non-integrable QFTs and compare them to integrable ones. We choose as prototypes the double sine-Gordon and the sine-Gordon models.…
From spectral to scattering form factor
Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein +1
We propose a novel indicator for chaotic quantum scattering processes, the scattering form factor (ScFF). It is based on mapping the locations of peaks in the scattering amplitude…