19–22 Aug 2024
Beihang University
Asia/Shanghai timezone

Relative entropy and effective field theory

22 Aug 2024, 10:00
30m
Beihang University

Beihang University

Peng Huanwu Collaborative Center for Research and Education of Beihang University

Speaker

Daiki Ueda

Description

Relative entropy quantifies the difference between two probability distribution functions, which is connected with key properties of physics, such as the second law of thermodynamics. In this talk, one of the most attractive features of relative entropy, non-negativity, is briefly reviewed. Then, I consider the relative entropy between two theories with and without interaction between heavy and light degrees of freedom. I explain connections between the non-negativity of the relative entropy and various phenomena, e.g., the positive magnetic susceptibility in the Ising model, the positivity bounds on the SMEFT SU(N) gauge bosonic operators, etc.

Primary author

Presentation materials