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arXiv · hep-th/9402096

Spontaneous Breakdown of the Lorentz Invariance

Yutaka Hosotani
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Abstract

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone theorem, to the decrease of zero-point energies of photons, which accounts for a major part of the mechanism. The asymmetric spectral flow plays an important role. The instability in pure Chern-Simons theory is also noted.

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Yutaka Hosotani. 1994-02-16. Spontaneous Breakdown of the Lorentz Invariance. https://doi.org/10.1103/physrevd.51.2022

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