Talk:Conformal symmetry

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[edit] Conventions

Where do the forms of the generators come from? According to me they aren't the conventional forms. It should rather be:

M_{\mu\nu}\equiv i(x_\mu\partial_\nu-x_\nu\partial_\mu),
P_\mu\equiv-i\partial_\mu,
D\equiv-ix_\mu\partial^\mu,
K_\mu\equiv i(x^2\partial_\mu-2x_\mu x_\nu\partial^\nu),

For example if we take a function f(xμ) and we dilate it, we get

f((1+\epsilon)x_\mu) \approx f(x_\mu) + \epsilon x_\mu\partial^\mu f(x_\mu)

which should be the same as

e^{i\epsilon D} f(x_\mu) \approx f(x_\mu) + i\epsilon D f(x_\mu)

Greets, David Da Vit 08:39, 8 June 2007 (UTC)