The Nambu-Goldstone theorem in non-relativistic systems

Abstract

In non-relativistic systems, when there is spontaneous symmetry breaking, the number of Nambu-Goldstone bosons ($n_{NG}$) are not necessarily equal to the number of broken generators ($n_{BG}$). Here we use the method of operators for analyzing the necessary conditions in order to obtain the correct dispersion relation for the Nambu-Goldstone bosons.

Published version

References in corpus (1)

• Goldstone boson counting in linear sigma models with chemical potential

Cited by in corpus (11)

• Topological continuum charges of acoustic phonons in 2D
• The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem
• Spontaneous symmetry breaking in Quantum Finance
• The probability flow in the Stock market and Spontaneous symmetry breaking in Quantum Finance
• Gauge symmetries and the Higgs mechanism in Quantum Finance
• The dynamical origin of the graviton mass in the non-linear theory of massive gravity
• The counting of Nambu-Goldstone bosons in a non-Hermitian field theory
• Order parameter conditions from mutual information and symmetry conditions
• The solution to the Black Hole information paradox
• On the Local equivalence of the Black Scholes and the Merton Garman equations
• Predictions of the neutrino oscillations parameters