2024/11/18 by Wan, Shi-Lin, Shuang-Yong Zhou, Zhou, Shuang-Yong · 6 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Optical Polarization and Ellipsometry #Spectroscopy Techniques in Biomedical and Chemical Research #Spectroscopy and Laser Applications
paper · pdf · doi:10.48550/arxiv.2411.11964
openalex publication_date 2024/11/18 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28
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.