Sign Convention Linkage: Metric Tensor & Dirac Equation

[pleasehelpmeno]

Does anyone know if the sign convenmtion from the metric tensor is linked to the sign convention in the Dirac equation. i.e is it possible to have a dt^2 - dX^2-dY^2-dZ^2 metric,

with a (-,+,+,+) convention for the Dirac equation?

 

[Simon Bridge]

http://en.wikipedia.org/wiki/Dirac_equation#Covariant_form_and_relativistic_invariance
The Dirac algebra looks tied up with the metric doesn't it?
See if you can produce a derivation of the Dirac equation with the opposite sign convention. Just follow it through step-by-step.

 

[pleasehelpmeno]

unfortunately i agree but i have been working through. http://arxiv.org/abs/hep-ph/0003045v3 and they seem to define the hamiltonian in a different way to the metric.

 

[Simon Bridge]

No responsibility for advise not followed.

 

[pleasehelpmeno]

sorry what do you mean?