The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
de Rham, A
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
abstract
We propose a new method for constructing the consistent space of scattering amplitudes by parameterizing the imaginary parts of partial waves and utilizing dispersion relations, crossing symmetry, and full unitarity. Using this framework, we explicitly compute bounds on the leading couplings and examine the Regge behaviors of the constructed amplitudes. The method also readily accommodates spinning bound states, which we use to constrain glueball couplings. By incorporating dispersion relations, our approach inherently satisfies the Froissart-Martin/Jin-Martin bounds or softer high-energy behaviors by construction. This, in turn, allows us to formulate a new class of fractionally subtracted dispersion relations, through which we investigate the sensitivity of coupling bounds to the asymptotic growth rate.
citation-role summary
background 4
citation-polarity summary
roles
background 4polarities
background 4representative citing papers
The boundary of the scalar S-matrix island divides into phases with universal high-energy asymptotics and resonance content, each corresponding to a different UV completion mechanism for gapped scalars.
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.
citing papers explorer
-
Analytic Bootstrap of the Veneziano Amplitude
The Veneziano amplitude is the unique solution to a dual bootstrap from dispersive sum rules interpreted as moments, unitarity, and string monodromy or splitting conditions.
-
The Phases of the Scalar S-Matrix Island
The boundary of the scalar S-matrix island divides into phases with universal high-energy asymptotics and resonance content, each corresponding to a different UV completion mechanism for gapped scalars.
-
Full positivity bounds for anomalous quartic gauge couplings in SMEFT
Complete positivity bounds for the 22 aQGC coefficients in SMEFT restrict the viable parameter space to approximately 0.0313% of the naive total.
-
Positivity with Long-Range Interactions
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
-
Factorization of elastic, single, and double diffractive $pp$ scattering
SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.
-
A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude
Dispersive bootstrap with unitarity, crossing and a Virasoro-inspired ansatz isolates the Virasoro-Shapiro amplitude in a small island for the gravity-pole-subtracted four-point amplitude in 10D supersymmetry.
-
Sampling the Graviton Pole and Deprojecting the Swampland
A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.
-
Positivity bounds from thermal field theory entropy
Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.