Arcadian Functor

occasional meanderings in physics' brave new world

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Marni D. Sheppeard

Wednesday, June 17, 2009

Quote of the Week

We believe that [this formula] encapsulates the complete n-particle tree level S-matrix of YM theory (for any gauge group) ... [we] highlight a crucial fact about the formula: namely, that it is not really an integral at all.
Roiban et al

2 Comments:

Blogger Matti Pitkanen said...

Just yesterday I ended up with a concrete view about p-adic fractalization of M-matrix.

Internal consistency requires that loops involving bosons vanish so that one has only *tree diagrams*. Coupling constant evolution is however non-trivial since bosonic propagator is not free propagator.

Ironically, twistor consideration led to the realization that bosonic propagation emerges in TGD (only Dirac action coupled to gauge boson fields and counterpart of YM action as effective action resulting by functionally integrating over fermions).

Then I realized that bosonic emergence seems to be independent of twistors. Now I realized that twistor approach with non-trivial coupling constant evolution requires just this: that is non-free bosonic propagator and mere tree diagrams at boson level! Something impossible in standard QFT.

For a brief overall view see my latest blog posting.

June 19, 2009 5:51 PM  
Blogger Kea said...

Matti, that's great. I have been learning a lot about twistors this week. Now I might get back to a simple paper showing that the p-adics are important.

June 20, 2009 2:01 AM  

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