3+ 1维时空中电动力学现象的几何模型
A geometric model in 3+1D space-time for electrodynamic phenomena
摘要:
随着想法找到粒子物理学的几何公式,我们调查的预测三维广义的正弦戈登模型,非常接近的Skyrme模型和吴杨描述的狄拉克单极。利用空间Dreibeins的三个转动自由度,我们建立了一个拉格朗日量,并与电磁现象的预测进行了比较。稳定的孤子激发,我们比较最轻的基本电荷,电子和正电子。我们把两个戈德斯通玻色子与光子的性质联系起来。这些粒子的特征在于三个拓扑量子数,我们比较电荷,自旋和光子数。最后,我们推测一些想法,进一步与实验比较。
英文摘要:
With the idea to find geometric formulations of particle physics we investigate the predictions of a three dimensional generalisation of the Sine-Gordon model, very close to the Skyrme model and to the Wu-Yang description of Dirac monopoles. With three rotational degrees of freedom of spatial Dreibeins we formulate a Lagrangian and confront the predictions to electromagnetic phenomena. Stable solitonic excitations we compare with the lightest fundamental electric charges, electrons and positrons. Two Goldstone bosons we relate to the properties of photons. These particles are characterised by three topological quantum numbers, which we compare to charge, spin and photon number. Finally we conjecture some ideas for further comparisons with experiments.
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