- #51
Kostik
- 274
- 32
I just noticed that Dirac actually derives the Lie derivative in chapter 30, on page 60. Here he calculates the variation ##\delta g_{\mu\nu} = -\mathcal{L}_b \, g_{\mu\nu}## in order to make the reverse argument that I provided in Post #34. There, to calculate the ##\delta p^\mu## in Dirac's (27.4), I took a point transformation and considered it as a coordinate transformation. In chapter 30, Dirac has a coordinate transformation, derives the Lie derivative ##-\mathcal{L}_b \, g_{\mu\nu}##, and then considers it as a point transformation in order to find ##\delta g_{\mu\nu}##.
The odd thing is, since he does this is chapter 30, he could have done it in chapter 27 to give a solid proof of (27.4).
The odd thing is, since he does this is chapter 30, he could have done it in chapter 27 to give a solid proof of (27.4).