# What would a potential absence of power-law singularities in of N=4 SYM four particle amplitudes mean from a physics point of view?

+ 3 like - 0 dislike
1651 views

In this post, Lumo explains that Nima and friends have by applying modern twistor, Grassmannian, amplituhedron methods found out that four particle amplitudes of N=4 SYM are potentially free of powerlow singularities up to all orders in perturbation theory.

In the comments, Lumo says that this is potentially related to the UV finiteness of the theory, but not much can be said about the physics implications of this result at present.

But maybe some people here have some additional ideas about what these results could mean from a physics point of view, if true ?

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsOv$\varnothing$rflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.