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.
The S-matrix bootstrap with neural optimizers. Part I. Zero double discontinuity
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Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
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.
Numerical search finds candidate modular-invariant spectra with integer degeneracies for 1 < c < 8/7 and hints at a stronger gap bound near c = 1.
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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.
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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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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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Descending into the Modular Bootstrap
Numerical search finds candidate modular-invariant spectra with integer degeneracies for 1 < c < 8/7 and hints at a stronger gap bound near c = 1.