QED
QED Lagrangian
- Full form of the QED Lagrangian
- Mass of the Photon field
- Intermezzo 1: P and C of the photon field
The photon field has spin J=1. In addition, the photon field has definite parity and charge
conjugation. The eigenvalues are P=-1 and C=-1. In a short notation: JPC=1--.
P and C of the photon field can be easily derived by investigating the third and fourth Maxwell equations:
and
PARITY
Since the charge density is a scalar quantity and the Nabla operator changes its sign
under a parity transformation it follows from the third Maxwell equation that the vector
potential transforms as vector and hence P=-1. As a further consequence, the electric
field transforms as a vector and the magnetic field as an axial-vector.
CHARGE CONJUGATION
Under the operation of charge conjugation the charge density and the vector current
change their sign. As a consequence, the electric and magnetic field change their
signs and hence also the four-potential Aμ.
- Intermezzo 2: Polarisation vectors of the photon field