Magnetic QED

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Publication:3548663

DOI10.1088/1751-8113/41/48/482001zbMATH Open1156.81479arXiv0807.4426OpenAlexW3001759493MaRDI QIDQ3548663

Author name not available (Why is that?)

Publication date: 16 December 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/0807.4426






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