https://doi.org/10.1140/epjp/i2011-11003-3
Regular Article
On the non-relativistic limit of charge conjugation in QED
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510, México D.F., Circuito exterior, Ciudad Universitaria, Mexico
Received:
20
June
2010
Accepted:
21
November
2010
Published online:
17
January
2011
Even if at the level of the non-relativistic limit of full QED, C is not a symmetry, the limit of this operation does exist for the particular case when the electromagnetic field is considered a classical external object coupled to the Dirac field. This result extends the one obtained when fermions are described by the Schrödinger-Pauli equation. We give the expressions for both the C matrix and the operator for Galilean electrons and positrons interacting with the external electromagnetic field. The result is relevant in relation to recent experiments with antihydrogen.
© Società Italiana di Fisica and Springer, 2011