Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-29
Nucl.Phys.B847:612-627,2011
Physics
High Energy Physics
High Energy Physics - Theory
Latex2e, 17 pages, with 2 figures
Scientific paper
10.1016/j.nuclphysb.2011.02.008
The ageing algebra is a local dynamical symmetry of many ageing systems, far from equilibrium, and with a dynamical exponent z=2. Here, new representations for an integer dynamical exponent z=n are constructed, which act non-locally on the physical scaling operators. The new mathematical mechanism which makes the infinitesimal generators of the ageing algebra dynamical symmetries, is explicitly discussed for a n-dependent family of linear equations of motion for the order-parameter. Finite transformations are derived through the exponentiation of the infinitesimal generators and it is proposed to interpret them in terms of the transformation of distributions of spatio-temporal coordinates. The two-point functions which transform co-variantly under the new representations are computed, which quite distinct forms for n even and n odd. Depending on the sign of the dimensionful mass parameter, the two-point scaling functions either decay monotonously or in an oscillatory way towards zero.
Henkel Malte
Stoimenov Stoimen
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