Non-singlet Regge trajectories with α(0) > 1.5 generate growing sign-indefinite Shapiro time-delays in s-channel eigenvalues, constraining universality of high-energy scattering amplitudes.
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Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
Bootstrap constraints on 10D half-maximal supergravity and SYM show gravitational boundaries dominated by single linear Regge trajectory amplitudes, with representation positivity tensions obstructing direct gauge-gravity normalization in the gluon sector.
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
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.
Symmetry plus perturbative gravitational scattering consistency requires the abelian charge lattice to be completely populated by single-particle states for SU(N) with N≥3 and SO(N) with N≥5.
The analysis shows that analyticity bounds in Lorentz-broken theories require gapped excitations to propagate slower than gapless ones at low momenta relative to the mass gap.
citing papers explorer
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Causality and the Equivalence Principle for Higher Energy Scattering
Non-singlet Regge trajectories with α(0) > 1.5 generate growing sign-indefinite Shapiro time-delays in s-channel eigenvalues, constraining universality of high-energy scattering amplitudes.
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Negative running of gravitational positivity
Non-minimal three-point interactions induce negative one-loop running of Wilson coefficients in gravitational EFTs, yet graviton loops generate positive IR contributions that dominate the bounds after smearing if the species number is bounded.
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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.
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Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.
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Primal S-matrix bootstrap with dispersion relations
A primal S-matrix bootstrap framework parameterizes imaginary parts of partial waves, uses dispersion relations to enforce consistency, computes coupling bounds, and handles Regge behavior plus spinning states like glueballs.
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Where is tree-level heterotic string theory?
Bootstrap constraints on 10D half-maximal supergravity and SYM show gravitational boundaries dominated by single linear Regge trajectory amplitudes, with representation positivity tensions obstructing direct gauge-gravity normalization in the gluon sector.
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The Equivalence Principle at High Energies Completes the Spectrum
Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.
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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.
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Completeness from Gravitational Scattering
Symmetry plus perturbative gravitational scattering consistency requires the abelian charge lattice to be completely populated by single-particle states for SU(N) with N≥3 and SO(N) with N≥5.
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IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry
The analysis shows that analyticity bounds in Lorentz-broken theories require gapped excitations to propagate slower than gapless ones at low momenta relative to the mass gap.