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3 votes
0 answers
47 views

Topology active subgroup for the QCD vacuum

I've been reading about the nontrivial topological structure of the QCD vacuum and, when studying the different equivalence classes created by the pure gauge fields, all papers say that it is possible ...
Ramon's user avatar
  • 96
1 vote
2 answers
746 views

How does the underlying symmetry of QCD imply the allowance of a 4-gluon vertex?

Quantum chromodynamics allows for a four-gluon vertex such as this, in a diagram Such a vertex would never be allowed in quantum electrodynamics, which has an underlying U(1) gauge symmetry. I know ...
Featherball's user avatar
1 vote
0 answers
50 views

The remained global flavor symmetries of massless quarks after gauging electromagnetic $U(1)$

For $N_f$ numebr of massless quarks, we know that there are global symmetries $$ \frac{SU(N_f)_L \times SU(N_f)_R \times U(1)_V}{Z_{N_f}} $$ here $U(1)_V$ is the same as $U(1)$-Baryon number ...
ann marie cœur's user avatar
1 vote
1 answer
690 views

Viable combinations of gluons interacting with colour singlet states

A proton-proton scattering event cannot take place with the exchange of a single gluon. The argument is that an attempt to draw a Feynman diagram for this process results in colourful outgoing states ...
CAF's user avatar
  • 3,569
1 vote
0 answers
195 views

Why does the $U(2n)$ flavor symmetry break down to a $U(1)$ group and an $SU(2n)$ group?

I am studying quantum field theory using Srednicki's textbook. Problem 83.1 is: Suppose that the color group is $G_C=SO(3)$ rather than $SU(3)$, and that each quark flavor is represented by a Dirac ...
Shen's user avatar
  • 1,653
3 votes
1 answer
638 views

Problem with Bogoliubov transformations of an operator

I have a set of Bogoliubov transformation as follows: \begin{equation} a(\beta) = a \cos \theta (\beta) - \tilde{a}^\dagger \sin \theta (\beta)\\ \tilde{a}(\beta) = \tilde{a} \cos \theta (\beta) + a^\...
pyroscepter's user avatar
1 vote
0 answers
118 views

Uncharged Gluon Representation

I'm currently learning for an exam and in an old exam the question was posed: If Gluons were uncharged, under which representation would they transform? The ...
jak's user avatar
  • 10.1k