- #1
d8586
- 6
- 0
Hi,
I am struggling to derive the relations on the right hand column of eq.(4) in https://arxiv.org/pdf/1008.4884.pdfEven the easy abelian one (third row)
which is
$$D_\rho B_{\mu\nu}=\partial_\rho B_{\mu\nu}$$
doesn't match my calculation
Since
$$D_\rho B_{\mu\nu}=(\partial_\rho+i g B_\rho)(\partial_\mu B_\nu-\partial_\nu B_\mu)$$
the equation seems to imply that
$$B_\rho (\partial_\mu B_\nu-\partial_\nu B_\mu)=0$$
What am I missing?
I am struggling to derive the relations on the right hand column of eq.(4) in https://arxiv.org/pdf/1008.4884.pdfEven the easy abelian one (third row)
which is
$$D_\rho B_{\mu\nu}=\partial_\rho B_{\mu\nu}$$
doesn't match my calculation
Since
$$D_\rho B_{\mu\nu}=(\partial_\rho+i g B_\rho)(\partial_\mu B_\nu-\partial_\nu B_\mu)$$
the equation seems to imply that
$$B_\rho (\partial_\mu B_\nu-\partial_\nu B_\mu)=0$$
What am I missing?