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- W2950404009 abstract "The free Schrodinger equation with mass M can be turned into a non-massive Klein-Gordon equation via Fourier transformation with respect to M. The kinematic symmetry algebra sch_d of the free d-dimensional Schrodinger equation with M fixed appears therefore naturally as a parabolic subalgebra of the complexified conformal algebra conf_d+2 in d+2 dimensions. The explicit classification of the parabolic subalgebras of conf_3 yields physically interesting dynamic symmetry algebras. This allows us to propose a new dynamic symmetry group relevant for the description of ageing far from thermal equilibrium, with a dynamical exponent z=2. The Ward identities resulting from the invariance under conf_d+2 and its parabolic subalgebras are derived and the corresponding free-field energy-momentum tensor is constructed. We also derive the scaling form and the causality conditions for the two- and three-point functions and their relationship with response functions in the context of Martin-Siggia-Rose theory." @default.
- W2950404009 created "2019-06-27" @default.
- W2950404009 creator A5003521054 @default.
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- W2950404009 date "2003-06-01" @default.
- W2950404009 modified "2023-10-15" @default.
- W2950404009 title "Schrödinger invariance and spacetime symmetries" @default.
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- W2950404009 doi "https://doi.org/10.1016/s0550-3213(03)00252-9" @default.
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