Unified Description of Non-Relativistic Nambu-Goldstone bosons

Details Unified Description of Non-Relativistic Nambu-Goldstone bosons Unified Description of Non-Relativistic Nambu-Goldstone bosons

2012-03-03

arxiv.org/abs/1203.0609v2

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, REVTeX 4.1; v2: derivations and presentation improved, physical examples added and expanded, other minor changes thro

Scientific paper

Using the effective Lagrangian approach, we clarify general issues about Nambu-Goldstone bosons in non-relativistic systems. We show how to count their number and study their dispersion relations. Their number is less than the number of broken generators when some of them form canonically conjugate pairs. The pairing occurs when the generators have a nonzero expectation value of their commutator. For non-semi-simple algebras, central extensions are possible. Underlying geometry of the coset space in general is partially symplectic.

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