Nima Arkani-Hamed | All-Loop Scattering as A Counting Problem
HTML-код
- Опубликовано: 24 окт 2024
- CMSA Conference on Mathematics in Science: Perspectives and Prospects 10/28/2023
Speaker: Nima Arkani-Hamed (IAS)
Title: All-Loop Scattering as A Counting Problem
Abstract: I will describe a new understanding of scattering amplitudes based on fundamentally combinatorial ideas in the kinematic space of the scattering data. I first discuss a toy model, the simplest theory of colored scalar particles with cubic interactions, at all loop orders and to all orders in the topological ‘t Hooft expansion. I will present a novel formula for loop-integrated amplitudes, with no trace of the conventional sum over Feynman diagrams, but instead determined by a beautifully simple counting problem attached to any order of the topological expansion. A surprisingly simple shift of kinematic variables converts this apparent toy model into the realistic physics of pions and Yang-Mills theory. These results represent a significant step forward in the decade-long quest to formulate the fundamental physics of the real world in a new language, where the rules of spacetime and quantum mechanics, as reflected in the principles of locality and unitarity, are seen to emerge from deeper mathematical structures.
Nima is a true living hero. Many thanks for sharing- let’s go!
At last, clear mathematical approaches that will hopefully converge ever closer to "the thing in itself" in Kant's philosophy. It's going to be really exciting with physics in the next few years and I've been following your lectures on the internet for a few years now.
The elusive categorical imperative.. is this the thing in and of itself you are referring to by chance?
@@dosesandmimoses I think he's referring to the concept of the noumena.
It appears camera tech. Has came a long way. Thankyou
Welcome back
Dr. Nima, is the particle collider a collider or a go-througher?
@5:40 the amplitudes are scaled rotors = instructions to rotate (or boost) and dilate. They act on the real geometric frame basis, hence they act on any observable composed from the Clifford frame. That's your real geometry. In any spacetime region (say a cobordism from one Cauchy boundary to another) the elementary degrees of freedom are highly stochastic, but not divisible due (probably, imho) to ER=EPR bridges, and are non-Markov (there is memory). But why you are getting all these "cancellations" is beyond me. Except to say that your spinor-helicity variables are basically the same as bispinors and they are basically the same as twistors, so this all points to spacetime algebra that the traditional QFT Feynman diagram perturbative approach is insensitive to, or simply does not have built-in at all, maybe?
It doesn’t appear a new force or a new addition to the standard model is that soon coming if at all
Not until somebody builds a new accelerator, no. That's not what this is about, though. The ideas here are general and can be applied to any model, not just the standard model.
Martin Jennifer Walker Richard Davis Patricia