IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem

Understand

The persistence of the hierarchy problem points to a violation of effective field theory expectations.

• A compelling possibility is that this results from a physical breakdown of EFT, which may arise from correlations between ultraviolet (UV) and infrared (IR) physics.
• To this end, we study noncommutative field theory (NCFT) as a toy model of UV/IR mixing which generates an emergent infrared scale from ultraviolet dynamics.
• We explore the range of such theories where ultraviolet divergences are transmogrified into infrared scales, focusing particularly on the properties of Yukawa theory, where we identify a new infrared pole accessible in the $s$-channel of the Lorentzian theory.