6–11 Jul 2025
PALAIS DU PHARO, Marseille, France
Europe/Paris timezone

Matrix moment approach to positivity bounds and UV reconstruction from IR

8 Jul 2025, 17:30
20m
PALAIS DU PHARO, Marseille, France

PALAIS DU PHARO, Marseille, France

Parallel T10 - Quantum Field and String Theory T10

Speaker

Shi-Lin Wan (University of Science and Technology of China)

Description

Positivity bounds in effective field theories (EFTs) can be extracted through the moment problem approach, utilizing well-established results from the mathematical literature. We generalize this formalism using the matrix moment approach to derive positivity bounds for theories with multiple field components. The sufficient conditions for
obtaining optimal bounds are identified and applied to several example field theories, yielding results that match precisely the numerical bounds computed using other methods. The upper unitarity bounds can also be easily harnessed in the matrix case. Furthermore, the moment problem formulation also provides a means to reverse engineer the UV spectrum from the EFT coefficients, often uniquely, as explicitly demonstrated in examples such as string amplitudes and the $stu$ kink theory.

Authors

Shi-Lin Wan (University of Science and Technology of China) Shuang-Yong Zhou (University of Science and Technology of China)

Presentation materials

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