Recent content by physicality

Dear samalkhaiat, Thank you for your help. I will address each issue in the order you raise it. The first misunderstanding stems from the fact that I take symbols like ##x,f## to mean a point and a field and I take ##x^\mu,f^\mu## to mean their ##\mu##-th component. Nevermind this piece of...

I'm looking at your original answer, samalkhaiat, and at the section treating special conformal transformations in particular. You say that a special conformal transformation take the form Transforming a single coordinate component of a point is meaningless. A special conformal transformation...

Thanks for all the help. Thank you, samalkhaiat. Thank you too, househofer. I don't see the need to see Zee's book any longer.

Yes, I know this, Vanhees. I did define the transformation. It is in explicit form. I'm asking how we can see that the action is invariant for this particular definition. I expect that the Lagrangian will not differ at all but I cannot go through with the computation.

[Moderator's note: changed thread title to be more descriptive of the actual question.] Consider Maxwell's action ##S=\int L## over Minkovski space, where the Lagrangian density is ##L = -\frac{1}{4}F_{\mu\nu}F^{\mu\nu}##, and the Electromagnetic tensor is given by ##F^{\mu\nu} = \partial^\mu...

Right, variations satisfy the Leibnitz rule. Thank you very much, sir.

Let us see how the line element transforms under conformal transformations. Consider the Minkovski metric gij, a line element ds2=dxigijdxj, and a conformal transformation δk(x)=ak + λ xk + Λklxl + x2sk - 2xkx⋅s We have δ(dxk)=dδ(x)k=λ dxk + Λkldxl + 2 x⋅dx sk - 2dxkx⋅s - 2xkdx⋅s And so the...