Basic maths theories for good understanding of the standard model

Question

I want to know what mathematical theories I should be aware of for a deep understanding of the standard particles model.

score 0 · Answer 1 · edited May 26 '14 at 11:50

This depends on what you already know, but if you know some quantum field theory, then getting to know the $SU(N)$ groups is a good start.

This is because the standard model is built upon Gauge-symmetry under these groups. The symmetry group of the standard model is:

$$SU(3) \times SU(2) \times U(1)$$

The $SU(3)$ is the symmetry of the strong force under the echange of colour. The $SU(2) \times U(1)$ is the symmetry group of the electroweak sector.

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