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Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance

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arxiv 1203.0609 v3 pith:N74K3JMC submitted 2012-03-03 hep-th cond-mat.otherhep-ph

Haruki Watanabe , Hitoshi Murayama This is my paper · ORCID
classification hep-thcond-mat.otherhep-ph
keywords numberbosonsgeneralgeneratorsinvariancelorentznambu-goldstonewhen
verification ladder T0 review T1 audit T2 compute T3 formal
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Using the effective Lagrangian approach, we clarify general issues about Nambu-Goldstone bosons without Lorentz invariance. 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. The underlying geometry of the coset space in general is partially symplectic.

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Cited by 4 Pith papers

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