Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-02-16
Z. Phys. C65 (1995) 175
Physics
High Energy Physics
High Energy Physics - Phenomenology
Pages: 8; Report#: VPI-IHEP-93-13
Scientific paper
We enlarge the local gauge invariance of QED from $~U(1)_A~$ to $~U(1)_A \times U(1)_{\Theta}~$ by introducing another unphysical pure gauge field $~\Theta~$ with an independent, unphysical gauge coupling $~\tilde{e}~$. This pure gauge field can be gauge-transformed away and the resulting theory is {\it identical to} standard QED. We then re-examine the Dirac quantization condition (DQC) for point monopoles and find that two essentially different DQCs can be derived. One DQC involves a gauge coupling $~e~$ in the $~U(1)_A~$ group and the other only the unphysical gauge coupling $~\tilde{e}~$ in the $~U(1)_{\Theta}~$ group. The unique physically consistent solution of these two DQCs is a vanishing magnetic charge, which implies that no Dirac monopole exists in nature.
He Hong-Jian
Qiu Zhaoming
Tze Chia-Hsiung
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