REVIEW 8 cited by
Measure for chaotic scattering amplitudes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Measure for chaotic scattering amplitudes
read the original abstract
We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios $r_n={\delta_n}/{\delta_{n+1}}$ of (consecutive) spacings $\delta_n$ between two (consecutive) peaks of the scattering amplitude. We show that the same measure applies to the quantum mechanical scattering on a leaky torus as well as to the decay of highly excited string states into two tachyons. Quite remarkably the $r_n$ obey the same distribution that governs the non-trivial zeros of Riemann zeta function.
Forward citations
Cited by 8 Pith papers
-
Bootstrapping black holes at low impact parameter
After eikonal subtraction, finite-grid SDR bootstrap extremal spectra support a cap-saturated black-hole-scale band and Regge-like ridge while leaving the intervening gap mostly empty.
-
Bootstrapping black holes at low impact parameter
After subtracting the eikonal carrier, the residual SDR spectrum in six dimensions organizes into a cap-saturated low-impact band, an empty gap, and Regge-like ridges whose weak-coupling edge is the G_N=0 baseline.
-
Precision asymptotics of string amplitudes
An infinite family of complex saddles plus a bootstrap on multiplicities yields a precise high-energy asymptotic expansion for one-loop string amplitudes with oscillatory terms.
-
Random matrix theory signatures in free field theory
In finite-volume massive free scalar field theory after local quench, spacing ratios of two-point function extrema follow GOE statistics and an extrema-based form factor shows RMT dip-ramp-plateau.
-
Higher-dimensional chaotic features and random matrix signatures following a local quench
Extrema of local-quench two-point functions in free 1+1 and 2+1 scalar theory show soft-to-GOE nearest-neighbor repulsion and geometry-dominated all-pair form factors.
-
Multi-dimensional chaos II: String scattering amplitudes, curve repulsion, and RMT
String scattering amplitudes yield area eigenvalue spacings whose ratios match GOE (β=1) and GUE (β=2) ensembles, with an areas form factor displaying decline-ramp-plateau behavior.
-
Photonic Exceptional Points in Holography and QCD
A holographic toy model is constructed for third-order photonic exceptional points in ternary microrings, with numerical spectra, phase rigidity, and connections to the theta-vacuum of QCD via topological structures a...
-
Multi-dimensional chaos I: Classical and quantum mechanics
Peak positions in two-dimensional erratic scattering functions carry statistical repulsion signatures—COE for asymmetric pinball S-matrices, β-ensemble-like for the random-charge model—that can diagnose multi-dimensio...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.