Weak Field Tensor: Explained by Ben

[Ben1729]

Hi,
After actually struggling to find anything relevant in books/google/this forum I'd really appreciate if someone could enlighten me:
$$W^{\mu\nu}$$
What is meant by this exactly?
Can I write this down in matrix form like the EM tensor?

Thanks

Ben

 

[tiny-tim]

Hi Ben!

If it's what I think, it's not $$W^{\mu\nu}$$ but $$W^{a\mu}$$

The µ part is four-, and the a part is 3- (like the 3 Pauli spin matrices).

In µ, it behaves like an ordinary 4-vector, in ordinary space-time.

But in a, it behaves like the spin of an electron (a spinor), but in an imaginary "isospin space", not in ordinary space.

(Aitchison and Hey's book is a good place to look it up.)

So, no, it's not like the EM tensor.

 

[lbrits]

Unless it refers to the field strength tensor of the weak interaction.