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arXiv 0909.1450hep-th
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无质量QED中的电磁对偶性

Electric-Magnetic Duality in Massless QED?

Chris Ford

摘要:

QED和最近开发的非厄米,或磁,版本的QED是等效的可能性被认为是。在这种对偶性下,确定了两种理论的哈密顿量和反常轴流。这种二重性的一个结果是,量子电动力学所描述的粒子携带磁电荷和电荷。这个提议要求两个理论中的裸费米子质量为零;狄拉克质量项与磁荷守恒不相容,就像马约拉纳质量破坏电荷守恒一样。物理光谱包括光子和无质量的自旋为1/2的粒子,它们带有相等或相反的电荷和磁荷。狄拉克费米子描述的四种粒子态对应于基本双子的四种可能的电荷分配。这种标度不变谱表明量子场论是有限的。有限旋量量子电动力学中精细结构常数的Johnson Baker Willey本征值方程被解释为双子的类Dirac电荷量子化条件。

英文摘要:

The possibility that QED and recently developed non-Hermitian, or magnetic, versions of QED are equivalent is considered. Under this duality the Hamiltonians and anomalous axial currents of the two theories are identified. A consequence of such a duality is that particles described by QED carry magnetic as well as electric charges. The proposal requires a vanishing zero bare fermion mass in both theories; Dirac mass terms are incompatible with the conservation of magnetic charge much as Majorana masses spoil the conservation of electric charge. The physical spectrum comprises photons and massless spin-1/2 particles carrying equal or opposite electric and magnetic charges. The four particle states described by the Dirac fermion correspond to the four possible charge assignments of elementary dyons. This scale invariant spectrum indicates that the quantum field theory is finite. The Johnson Baker Willey eigenvalue equation for the fine structure constant in finite spinor QED is interpreted as a Dirac-like charge quantisation condition for dyons.

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