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arXiv · 0906.2965

Gauge Theory of the full Lorentz Group on flat Spacetime

Kay zum Felde
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Abstract

We compute gauge theories of the Lorentz group. We discuss non-interacting, and interacting fermionic systems. The interacting system combines a local with a global Lorentz group, i.e, discusses a $SO(3,1)_{l}\times SO(3,1)_{g}$-theory. We compute the equations of motion and conservation laws for the fermionic matter current. The core of our work is the prediction of some new form of monopoles we call 'Dirac-Clifford-'t Hooft-Polyakov'-monopole. It resides in a state similar to color-flavor locking. Dirac-Clifford-'t Hooft-Polyakov-monopoles are invariant under global Lorentz transformations and are predicted to form vortices. The theory is renormalizable, since all Goldstone-Nambu modes are converted into massive vector gauge fields.

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Kay zum Felde. 2009-06-16. Gauge Theory of the full Lorentz Group on flat Spacetime. https://arxiv.org/abs/0906.2965

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