Physics – Mathematical Physics
Scientific paper
2004-01-08
Commun.Math.Phys. 252 (2004) 477-483
Physics
Mathematical Physics
6 pages latex
Scientific paper
10.1007/s00220-004-1185-5
A photon of momentum k can have only two polarization states, not three. Equivalently, one can say that the magnetic vector potential A must be divergence free in the Coulomb gauge. These facts are normally taken into account in QED by introducing two polarization vectors epsilon_\lambda(k) with lambda in {1,2}, which are orthogonal to the wave-vector k. These vectors must be very discontinuous functions of k and, consequently, their Fourier transforms have bad decay properties. Since these vectors have no physical significance there must be a way to eliminate them and their bad decay properties from the theory. We propose such a way here.
Lieb Elliott H.
Loss Michael
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