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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Machine-learning optimization produces candidate truncated modular-invariant partition functions for 2d CFTs in the central-charge window 1 to 8/7, indicating a continuous solution space and a stricter spectral-gap bound than the prior c/6 + 1/3 limit.
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.
citing papers explorer
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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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Descending into the Modular Bootstrap
Machine-learning optimization produces candidate truncated modular-invariant partition functions for 2d CFTs in the central-charge window 1 to 8/7, indicating a continuous solution space and a stricter spectral-gap bound than the prior c/6 + 1/3 limit.
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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.