Effective Field Theories, Gravity and Cosmology

Session

Bootstrap methods

26 Apr 2025, 09:00

Building 3, 2A-223 (国科大杭州高等研究院 Hangzhou Institute for Advanced Study (UCAS))

Conveners

Bootstrap methods

• Shuang-Yong Zhou

Bootstrap methods

• Gang Yang (Institute of Theoretical Physics, CAS)

9. Bootstrapping Lattice Yang-Mills Theory

Gang Yang (Institute of Theoretical Physics, CAS)

26/04/2025, 09:00

We discuss some recent progress on applying the positivity bootstrap approach to SU(3) lattice Yang-Mills (YM) theory, extending previous studies of large N and SU(2) theories by incorporating multiple-trace Wilson loop operators. Utilizing Hermitian and reflection positivity conditions, along with Schwinger-Dyson (SD) loop equations, we compute rigorous bounds for the expectation values of...

8. Kaluza-Klein Correlators at Five Points and Hidden Structures

野 袁 (浙江大学)

26/04/2025, 09:30

I will report some recent progress on the study of 1/2-BPS correlators that describe tree-level scattering of five gluons or gravitons in AdS backgrounds, with arbitrary Kaluza-Klein charge configurations for the external operators. After motivating this exploration, I will describe the analytic bootstrap method and its use in the computation of the gluon case. This results in a unified...

1. New Factorizations of Yang-Mills Amplitudes

Prof. Yong Zhang (Ningbo University)

26/04/2025, 10:30

We propose a new factorization pattern for tree-level Yang-Mills (YM) amplitudes, where they decompose into a sum of gluings of two lower-point amplitudes by setting specific two-point nonplanar Mandelstam variables within a rectangular configuration to zero. This approach manifests the hidden zeros of YM amplitudes recently identified. Furthermore, by setting specific Lorentz products...

15. Locality and unitarity from hidden zeros

Laurentiu Rodina (BIMSA)

26/04/2025, 11:00

Hidden zeros are a novel feature of quantum field theory, corresponding to special kinematic configurations where scattering amplitudes unexpectedly vanish across a broad class of theories. In this talk, I will show that these hidden zeros are precisely equivalent to a previously unnoticed form of Britto-Cachazo-Feng-Witten (BCFW) scaling, governing the high-energy behavior of amplitudes....

32. Bosonic Fortuity from the Structure of Loop Space at Finite N

Prof. Robert de Mello Koch (Huzhou U)

26/04/2025, 11:30

The space of gauge invariants for a single matrix is generated by traces containing at most N matrices per trace. We extend this analysis to multi-matrix models at finite N. Using the Molien-Weyl formula, we compute partition functions for various multi-matrix models at different N and interpret them through trace relations. This allows us to identify a complete set of invariants, naturally...