Recent content by BVM

Oh my god how did I miss this. Thanks a lot!

Homework Statement I am going through the book "Symmetries in Fundamental Physics" by Kurt Sundermeyer and in his part on deriving Yang-Mills theories from a Kaluza-Klein perspective I seem to be stuck on a small step in the derivation. Homework Equations He expands the metric in a typical...

Got it! That hint really helped. Thanks.

Homework Statement A proof of equality between two traces of products of gamma matrices. Tr(\gamma^\mu (1_4-\gamma^5) A (1_4-\gamma^5) \gamma^\nu) = 2Tr(\gamma^\mu A (1_4-\gamma^5) \gamma^\nu) Where no special property of A is given, so we must assume it is just a random 4x4 matrix. 1_4...

Thanks! That answer really helped me understand the problem.

Quite a vague question here, and I'm not entirely sure I'll be able to get a satisfying answer out of this one, but here goes. Fields such as the electric or magnetic field are introduced as vector fields that allow you to calculate a force at a certain point in space. In this interpretation...

I'm stuck on exactly the same problem. My initial approach was to define the poisson kernel on a circle with radius r, and then take the limit of the poisson kernel with r \rightarrow ∞, but I kept on getting 0 as result. I have found, however, that we can rewrite \frac{1 - r^2}{1 - 2rcos(2πt)...

Thank you for replying. I've solved the problem. Whereas I previously thought that I couldn't write any \bar{X}^n in terms of 1 and \bar{X} I've since realized that for instance: \bar{X}^2 = -\bar{X}-\bar{2} = 2\bar{X}+\bar{1}. My initial mistake as to think that in \mathbb{Z}_3 we can't...

In my Abstract Algebra course, it was said that if E := \frac{\mathbb{Z}_{3}[X]}{(X^2 + X + 2)}. The basis of E over \mathbb{Z}_{3} is equal to [1,\bar{X}]. But this, honestly, doesn't really make sense to me. Why should \bar{X} be in the basis without it containing any other \bar{X}^n...