Spontaneous Breakdown of the Lorentz Invariance and the Nambu-Goldstone Theorem

Details Spontaneous Breakdown of the Lorentz Invariance and the Nambu-Goldstone Theorem Spontaneous Breakdown of the Lorentz Invariance and the Nambu-Goldstone Theorem

1994-07-28

arxiv.org/abs/hep-th/9407188v1

Physics

High Energy Physics

High Energy Physics - Theory

plain TeX, 4 pages, UMN-TH-1304/94

Scientific paper

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed, the photon is the Nambu-Goldstone boson associated with the spontaneous breaking of the Lorentz invariance. Although symmetry generated by two Lorentz boost generators is broken, there seems to appear only one physical Nambu-Goldstone boson, namely a photon. We argue that the Ward identities in the Nambu-Goldstone theorem are saturated by the photon pole.

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