Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-10-14
J.Statist.Phys. 75 (1994) 1023-1061
Physics
High Energy Physics
High Energy Physics - Theory
Latex 44 pp. (no figs), Oxford preprint OUTP-93-33S, Geneva preprint UGVA-DPT 1993/09-833
Scientific paper
10.1007/BF02186756
The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent $\theta=z=2$, the group of local scale transformation considered is the Schr\"odinger group, which can be obtained as the non-relativistic limit of the conformal group. The requirement of Schr\"odinger invariance determines the two-point function in the bulk and reduces the three-point function to a scaling form of a single variable. Scaling forms are also derived for the two-point function close to a free surface which can be either space-like or time-like. These results are reproduced in several exactly solvable statistical systems, namely the kinetic Ising model with Glauber dynamics, lattice diffusion, Lifshitz points in the spherical model and critical dynamics of the spherical model with a non-conserved order parameter. For generic values of $\theta$, evidence from higher order Lifshitz points in the spherical model and from directed percolation suggests a simple scaling form of the two-point function.
No associations
LandOfFree
SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-131847