Spontaneous Breakdown of the Lorentz Invariance
arXiv:hep-th/9402096 · doi:10.1103/PhysRevD.51.2022
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.
4 pages (1 figure not included), plain TeX, UMN-TH-1238/94
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