REVIEW 8 cited by
Chaotic scattering of highly excited strings
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
Chaotic scattering of highly excited strings
read the original abstract
Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the "scattering equations". We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.
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.
-
All DDF/lightcone two-particle decay widths up to level $8$ in open bosonic string in critical dimension
Exhaustive lightcone computation shows open bosonic string states up to level 8 have decay widths within O(1) of each other, with all decays ultimately producing photons at the string scale.
-
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.
-
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.