- #1
ChrisVer
Gold Member
- 3,378
- 465
Well can someone review this?
KG equation:
[itex] \square \Phi + m^{2} \Phi =0, ~~ m^{2} <0 \Rightarrow m=i \mu [/itex]
would lead to the form:
[itex] \square \Phi = \mu^{2} \Phi [/itex].
I'm trying to think if applying the same solution as in KG can also happen here...
Also for on-shell particles, I seem to be getting the "same" equation as we do for normal positive masses:
[itex] \int d^{4}k [k^{2}- \mu^{2}] \tilde{\Phi}(k) e^{ikx}=0 [/itex]
and so [itex] k^{2} = \mu^{2} [/itex]
KG equation:
[itex] \square \Phi + m^{2} \Phi =0, ~~ m^{2} <0 \Rightarrow m=i \mu [/itex]
would lead to the form:
[itex] \square \Phi = \mu^{2} \Phi [/itex].
I'm trying to think if applying the same solution as in KG can also happen here...
Also for on-shell particles, I seem to be getting the "same" equation as we do for normal positive masses:
[itex] \int d^{4}k [k^{2}- \mu^{2}] \tilde{\Phi}(k) e^{ikx}=0 [/itex]
and so [itex] k^{2} = \mu^{2} [/itex]