Trees to Loops: Computing SUSY Yang-Mills Amplitudes

In summary, this paper argues that generic one-loop scattering amplitudes in supersymmetric Yang-Mills theories can be computed equivalently with MHV diagrams or with Feynman diagrams...mmm.
  • #1
Kea
859
0
From Trees to Loops and Back
Andreas Brandhuber, Bill Spence, Gabriele Travaglini
49 pages, 17 figures
http://www.arxiv.org/abs/hep-th/0510253

We argue that generic one-loop scattering amplitudes in supersymmetric Yang-Mills theories can be computed equivalently with MHV diagrams or with Feynman diagrams...
 
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  • #3
No you won't find MHV in Road to Reality that's a later parley by Witten and company from string theory through twister space to QCD.

But did you follow that "Feynmann Tree Formula"? How neat! And how Feynman! Express the Feynman propagator as an advanced (retarded) propagator plus a [tex]\delta(P^2-m^2)[/tex]. Then use simple light cone techniques to simplify.

Of course this was all natural for RF, he had been working with advanced and retarded in Minkowski space since his PhD thesis. As the title of the book where the authors of this paper found the tequnique puts it: Magic without magic.
 
  • #4
Magic without magic seems hard to get but it's also in:

"Selected papers of Richard Feynman: Closed Loop And Tree Diagrams,
867-887, Brown, L. M. (ed.)" which I have.

Laurie Brown is also the editor of the brandnew:

"Feynman’s Thesis: A New Approach To Quantum Theory"

http://physicsweb.org/press/10433
https://www.amazon.com/gp/product/9812563806/?tag=pfamazon01-20

Richard Feynman's never previously published doctoral thesis.
I hope to receive my copy in 2 or 3 days :smile:


Regards, Hans
 
  • #5
Hans de Vries said:
Is this a "revival" of Twistor Space?

One might well say so! As selfAdjoint says, its new physics, so not in Road to Reality. However, one can only imagine that Penrose would be pleased. Thanks for the Feynman references.

:smile:
 

Related to Trees to Loops: Computing SUSY Yang-Mills Amplitudes

1. What is the purpose of the "Trees to Loops" approach in computing SUSY Yang-Mills amplitudes?

The "Trees to Loops" approach is used to simplify the calculation of amplitudes in supersymmetric Yang-Mills theories by breaking it down into two steps. First, tree-level amplitudes are calculated using Feynman diagrams, and then these results are used to compute higher-order loop corrections. This approach allows for a more efficient and systematic computation of amplitudes.

2. How does the "Trees to Loops" approach differ from other methods of computing amplitudes?

Unlike other methods that directly calculate loop corrections, the "Trees to Loops" approach uses tree-level amplitudes to derive higher-order corrections. This makes the computation more manageable and reduces the number of Feynman diagrams that need to be evaluated.

3. What is the significance of computing SUSY Yang-Mills amplitudes?

SUSY Yang-Mills amplitudes play a crucial role in understanding the behavior of supersymmetric particles in high-energy physics. They provide insights into the underlying symmetries and interactions of these particles, which can help us better understand the fundamental laws of nature.

4. How do trees and loops relate to the "Trees to Loops" approach?

In the context of particle physics, "trees" refer to tree-level Feynman diagrams, which represent the leading order contributions to amplitudes. "Loops," on the other hand, refer to higher-order corrections that arise from virtual particle interactions. In the "Trees to Loops" approach, higher-order corrections are derived from tree-level amplitudes, hence the name.

5. Are there any limitations to the "Trees to Loops" approach?

While the "Trees to Loops" approach offers significant advantages in computing SUSY Yang-Mills amplitudes, it does have some limitations. It may not be applicable to all theories, and the computation of higher-order corrections can become increasingly complex as the number of particles and interactions increases. Additionally, the approach may not capture all aspects of the full calculation and may require additional corrections or considerations.

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