Physical ageing and new representations of some lie algebras of local scale-invariance

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Abstract

Abstract Indecomposable but reducible representations of several Lie algebras of local scale-transformations, including the Schrödinger and conformal Galilean algebras, and their applications in physical ageing are reviewed. The physical requirement of the decay of co-variant two-point functions for large distances is related to analyticity properties in the coordinates dual to the physical masses or rapidities.

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Henkel, M., & Stoimenov, S. (2014). Physical ageing and new representations of some lie algebras of local scale-invariance. In Springer Proceedings in Mathematics and Statistics (Vol. 111, pp. 33–50). Springer New York LLC. https://doi.org/10.1007/978-4-431-55285-7_4

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