0
votes
0answers
32 views

How could I show that ${\mathcal{L}\left(e\right)}$ is ${SU\left(2\right)_{L}\times U\left(1\right)_{Y}}$ invariant?

How can I show that ${\mathcal{L}\left(e\right)}$ is ${SU\left(2\right)_{L}\times U\left(1\right)_{Y}}$ invariant by checking explicitly that the ${\chi_{L}}$, ${e_{R}}$, ${\vec{W}_{\mu}}$ and ...
3
votes
1answer
258 views

How to introduce the electromagnetic field in Quantum Field Theory?

There are many ways to introduce the electromagnrtic field in Quantum Field Theory(QFT), such as canonical quantization method which introduces the creation and annihilation oprators by treating the ...
4
votes
2answers
360 views

Gauge fixing and equations of motion

Consider an action that is gauge invariant. Do we obtain the same information from the following: Find the equations of motion, and then fix the gauge? Fix the gauge in the action, and then find the ...
4
votes
1answer
495 views

Noether current for the Yang-mills-higgs lagrangian

I am trying to calculate the Noether's current, more specifically, the energy density of the Yang-mills-Higgs Lagrangian. Please refer to the equations in the Harvey lectures on Magnetic Monopoles, ...