Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem

2001/10/30 by Ian Low, Aneesh V. Manohar · 1 voice · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Cosmology and Gravitation Theories

paper · pdf · doi:10.1103/physrevlett.88.101602

Abstract

Goldstone's theorem states that there is a massless mode for each broken symmetry generator. It has been known for a long time that the naive generalization of this counting fails to give the correct number of massless modes for spontaneously broken spacetime symmetries. We explain how to get the right count of massless modes in the general case, and discuss examples involving spontaneously broken Poincaré and conformal invariance.

Citations

• Structure of Phenomenological Lagrangians. I
• Broken Symmetries

Cited by

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• On the Geometry of Spacetime I: baby steps in quantum ring theory
• Coset space construction for the conformal group. II. Spontaneously broken phase and inverse Higgs phenomenon
• An introduction to Goldstone boson physics and to the coset construction

Discussions

• Dec 20 - Spontaneously broken spacetime symmetries arxiv.org/abs/hep-th/0... Low & Manohar explain why there are often fewer Goldstone modes than broken generators for spacetime symmetries. A goldst [bsky, 13 points, 1 comments]

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