Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-28
J.Phys.A41:482001,2008
Physics
High Energy Physics
High Energy Physics - Theory
8 pages
Scientific paper
10.1088/1751-8113/41/48/482001
A non-Hermitian form of QED is presented which describes interacting Dirac monopoles. The theory is related by a canonical transformation to a model proposed by Milton. As in Hermitian QED an abelian gauge potential is coupled to a four-component fermion. Under proper Lorentz transformations and time-reversal the fermion field transforms like a Dirac spinor but has a non-standard parity transformation. This implements the property that magnetic charge, unlike electric charge, is parity-odd. A consequence of the non-Hermiticity is that there is an attractive force between identical charged particles, at least in the weakly coupled regime. This effect can be understood even at the classical level; a simple calculation of the force between classical Dirac monopoles is presented which shows that like charge monopoles attract and opposite charges repel.
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