On logarithmic extensions of local scale-invariance

Details On logarithmic extensions of local scale-invariance On logarithmic extensions of local scale-invariance

2010-09-21

arxiv.org/abs/1009.4139v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex2e, 1 eps figure included

Scientific paper

The known logarithmic extensions of conformal and Schr\"odinger-invariance assume translation-invariance in their spatial and temporal coordinates. Therefore, they cannot be applied directly to slow far-from-equilibrium relaxations, where time-translation-invariance no longer holds. Here, the logarithmic extension of ageing-invariance, that is local dynamical scaling without the assumption of time-translation-invariance, is presented. Co-variant two-point functions are derived. Their form is compared to transfer-matrix renormalisation group data for the two-time autoresponse function of the 1D critical contact process, which is in the directed percolation universality class.

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