Articles dans des revues à comité de lecture
|Schroedinger invariance and spacetime symmetries|
|Henkel M., Unterberger J.|
|Nuclear Physics B661 (2003) 407|
|DOI : 10.1016/S0550-3213(03)00252-9|
|ArXiv : hep-th/0302187 [PDF]|
The free Schroedinger 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 schd of the free d-dimensional Schroedinger equation with M fixed appears therefore naturally as a parabolic subalgebra of the complexified conformal algebra confd+2 in d+2 dimensions. The explicit classification of the parabolic subalgebras of conf3 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 confd+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.