- #1

- 366

- 36

I am reading this paper written by carlo Rovelli:

https://arxiv.org/abs/1010.1939

there are many things that i fail to understand, but i would like to begin with a simple thing.

Rovelli write that:

It is locally Lorentz invariant at each vertex, in the sense that the vertex amplitude (21) is SL2C invariant: if we choose a different SU2 subgroup of SL2C (in physical terms, if we perform a local Lorentz transformation), the amplitude does not change.

How to derive that such another su2 subgroup defines a lorentz transformation?

It may be obvious , sorry for my level