Nambu-Goldstone dynamics and generalized coherent-state functional integrals

作者:Blasone Massimo; Jizba Petr*
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(24): 244009.
DOI:10.1088/1751-8113/45/24/244009

摘要

This 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 a broken phase. The leading field configuration in the WKB approximation leads to the Landau-Lifshitz equation for quantum ferromagnet. The corresponding linearized equations allow one to identify the Nambu-Goldstone boson with a ferromagnetic magnon.

  • 出版日期2012-6-22