Physical ageing and new representations of some Lie algebras of local scale-invariance
arXiv:1401.6086 · doi:10.1007/978-4-431-55285-7_4
Abstract
Indecomposable but reducible representations of several Lie algebras of local scale-transformations, including the Schrödinger and conformal Galilean algebras, and some of 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.
Latex2e (+ macros), 17 pages with 1 figure included, proceedings conference LT-10 Varna (Bulgarie)
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Cited by in corpus (5)
- Dynamical symmetries and causality in non-equilibrium phase transitions
- Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain
- Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
- Boundedness of meta-conformal two-point functions in one and two spatial dimensions
- Classification of simple weight modules over the 1-spatial ageing algebra