Spontaneously broken Lorentz invariance in three-dimensional gauge theories

Aug, 1993
8 pages
Published in:
  • Phys.Lett.B 319 (1993) 332-338
e-Print:
Report number:
  • UMN-TH-1211-93

Citations per year

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Abstract:
In a wide class of three-dimensional Abelian gauge theories with a bare Chern-Simons term, the Lorentz invariance is spontaneously broken by dynamical generation of a non-vanishing magnetic field. A detailed computation of an energy density of the true vacuum is given. The originally massive photon becomes massless, fulfilling the role of a Nambu-Goldstone boson associated with the spontaneous breaking of the Lorentz invariance.
  • gauge field theory: U(1)
  • fermion
  • Chern-Simons term
  • dimension: 3
  • invariance: Lorentz
  • spontaneous symmetry breaking
  • mass: topological
  • topological: mass
  • Goldstone theorem