Nambu-Goldstone dynamics and generalized coherent-state functional integrals

Details Nambu-Goldstone dynamics and generalized coherent-state functional integrals Nambu-Goldstone dynamics and generalized coherent-state functional integrals

2011-11-14

arxiv.org/abs/1111.3228v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, IOP LaTeX, revised version with minor changes, accepted to J. Phys. A: Math. Theor

Scientific paper

The present paper gives a new method of attack on the Nambu-Goldstone dynamics in spontaneously broken theories. Since the target space of the Nambu-Goldstone fields is a group coset space, their effective quantum dynamics can be naturally phrased in terms of generalized coherent-state functional integrals. As an explicit example of this line of reasoning we construct a low-energy effective Lagrangian for the Heisenberg ferromagnet in broken phase. The leading field configuration in the WKB approximation leads to the Landau-Lifshitz equation for quantum ferromagnet. The corresponding linearized equations allow to identify the Nambu-Goldstone boson with ferromagnetic magnon.

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