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1 vote
2 answers
173 views

Why are two gluons needed for Feynman diagram?

Why do we need two gluons for the decay $$\pi^-+ p\rightarrow\pi^-+n+\pi^+\:\:?$$ If we have always the gluon $$\frac{1}{\sqrt{2}}(r\bar{r}-g\bar{g})$$ it should be possible with only one gluon ...
Silas's user avatar
  • 425
2 votes
3 answers
698 views

Do quarks annihilate into photons or virtual gluons?

I initially assumed a quark and its anti quark would annihilate into 2 photons (like electrons with positrons) and this does seem to be the case at least sometimes (e.g. For $\pi^0$s). However in our ...
Alex Gower's user avatar
  • 2,604
1 vote
1 answer
368 views

Deep inelastic scattering (DIS) and handbag diagram

Here, in page 11, you can see the so-called 'handbag' diagram that explains how a virtual photon emitted in a deep inelastic scattering (DIS) process interacts with a parton. I'm going to use this ...
Vicky's user avatar
  • 1,597
2 votes
1 answer
954 views

complicated QCD Color factor formula?

I was doing higher order calculations for purely gluonic system and came across complicated color factors like the product of six structure constants product $f_{a_1a_2a_3}f_{a_4a_2a_7}f_{a_7a_8a_1}f_{...
Ming Li's user avatar
  • 21
2 votes
2 answers
2k views

Quark anti-quark pair creation. Do we need a gluon?

What is the difference between these diagrams? Is the presence of the gluon taken for granted in the second one? and EDIT: I just zoomed into the picture, it is not a single quark state. There's a ...
SuperCiocia's user avatar
  • 24.9k
11 votes
2 answers
4k views

Deriving Feynman rules from a Lagrangian for vertex factors for "more complicated" interactions

I am trying to derive Feynman rules from a given Lagrangian and I got stuck on some vertex factors. What for example is the vertex factor that corresponds to the four-scalar interaction that is ...
Thomas's user avatar
  • 111
1 vote
0 answers
480 views

Reduced graphs and pinch-singular surfaces

I am reading a book on perturbative QCD by John Collins. In Chapter 5, the terms reduced graph and pinch-singular surface are used for the analysis of mass singularities. However, their meanings are ...
soliton's user avatar
  • 1,701