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Results tagged with quantum-chromodynamics
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user 16015
Quantum-ChromoDynamics (QCD) is the quantum field theory believed to describe the strong nuclear force.
1
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0
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482
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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 n …
- 1,701
22
votes
4
answers
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Trace and adjoint representation of $SU(N)$
In the adjoint representation of $SU(N)$, the generators $t^a_G$ are chosen as
$$ (t^a_G)_{bc}=-if^{abc} $$
The following identity can be found in Taizo Muta's book "Foundations of Quantum Chromodyn …
- 1,701
9
votes
Trace and adjoint representation of $SU(N)$
With the help of Peter Kravchuk and joshphysics, I have completed a proof of the trace identity. I will post it here as a reference. By the method of Kravchuk, we find
$$\begin{split}
\mathrm{tr}\ …
- 1,701
3
votes
0
answers
418
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Effective Field Theories of QCD
Recently, I am studying the online course Effective Field Theory provided by MIT OCW. Prof. Stewart gives a nice picture to summarize the effective theories:
As a newbie in this field (I only have …
- 1,701
6
votes
1
answer
259
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Semileptonic decays of the $B_c$ meson
I am struggling with calculating the exclusive semileptonic $B_c^+\rightarrow J/\psi l^+\nu_l$ decay. I learnt that the amplitude is given by a product of the leptonic current $L^{\mu}$ and the hadron …
- 1,701