anomalous magnetic dipole moment vs CPT

[katastrofa_nadfioletu]

Hello Group,
it is known that the anomalous electric dipole moment is violating P-
symmetry. I wonder whether adding the term describing Pauli
interaction of anomalous magnetic dipole moment with electromagnetic
field to the Dirac's lagrangean density violates any of C, P or T -
symmetries? (Of course I remember that it should be CPT invariant, so
if it violates any, it necessarily violates two of them :))

I took the term:
bar{psi} (i/2)[gamma ^nu, gamma ^lambda] psi
(I've used common notation: psi's are Dirac's spinors, gamma's are
dirac's matrices)

transformed it and got that it:
- changes its sign under charge conjugation
- behaves like tensor under parity transformation and time reversal.
We know how electromagnetic field tensor F_{nu lambda} behaves under
those transformations so I got the finall result that the full
interaction term:

bar{psi} (miu/2) (i/2)[gamma ^nu, gamma ^lambda] F_{nu lambda}
psi
remains invariant. (miu is particle's magnetic moment)
Am I right?
Wish to hear any comments;
magda

[Uncle Al]

katastrofa_nadfioletu wrote:
>
> Hello Group,
> it is known that the anomalous electric dipole moment is violating P-
> symmetry. I wonder whether adding the term describing Pauli
> interaction of anomalous magnetic dipole moment with electromagnetic
> field to the Dirac's lagrangean density violates any of C, P or T -
> symmetries? (Of course I remember that it should be CPT invariant, so
> if it violates any, it necessarily violates two of them :))
>
> I took the term:
> bar{psi} (i/2)[gamma ^nu, gamma ^lambda] psi
> (I've used common notation: psi's are Dirac's spinors, gamma's are
> dirac's matrices)
>
> transformed it and got that it:
> - changes its sign under charge conjugation
> - behaves like tensor under parity transformation and time reversal.
> We know how electromagnetic field tensor F_{nu lambda} behaves under
> those transformations so I got the finall result that the full
> interaction term:
>
> bar{psi} (miu/2) (i/2)[gamma ^nu, gamma ^lambda] F_{nu lambda}
> psi
> remains invariant. (miu is particle's magnetic moment)
> Am I right?
> Wish to hear any comments;
> magda

How large do you predict the anomalous electric dipole moment of the
neutron should be?

http://www.neutronedm.org/
by observation, |d| < 3.0x10^(-26) e-cm

--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2