Trees to Loops: Computing SUSY Yang-Mills Amplitudes

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Discussion Overview

The discussion revolves around the computation of one-loop scattering amplitudes in supersymmetric Yang-Mills theories, exploring the equivalence between MHV diagrams and Feynman diagrams. Participants reference various sources and concepts related to these topics, including Twistor Space and Richard Feynman's work.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants argue that the work presented in the referenced paper suggests a revival of Twistor Space, with implications for modern physics.
  • One participant notes that MHV diagrams are not discussed in Penrose's "Road to Reality," indicating a timeline of developments in the field.
  • Another participant highlights the elegance of expressing the Feynman propagator in terms of advanced and retarded propagators, suggesting a simplification using light cone techniques.
  • References to Richard Feynman's unpublished doctoral thesis and other works are made, indicating a historical context and ongoing relevance of Feynman's ideas in current discussions.

Areas of Agreement / Disagreement

Participants express differing views on the implications of the discussed paper, particularly regarding the revival of Twistor Space and the relevance of Feynman's techniques. No consensus is reached on these points.

Contextual Notes

Some participants note that the discussion involves new physics not covered in existing literature, indicating potential limitations in the current understanding of the topic.

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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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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.
 
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
 
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:
 

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