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Ageing correlators from local scale-invariance (2505.22301v1)
Published 28 May 2025 in cond-mat.stat-mech, hep-th, math-ph, and math.MP
Abstract: For ageing systems with dynamical exponent $\mathpzc{z}=2$ and with the dominant noise coming from the thermal bath, the form of the two-time autocorrelator as well as the time-space form of the single-time correlator are derived from Schr\"odinger-invariance, generalised to non-equilibrium ageing. These findings reproduce the exact results in the $1D$ Glauber-Ising model at $T=0$ and the critical spherical model in $d>2$ dimensions.
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