AI Article Synopsis
- The generating functional for slow dynamics in spin-glass systems remains unchanged under different time reparametrizations, which applies to both infinite and short-range models.
- This invariance arises from the existence of separate short and long time scales in the system alongside principles of causality and unitarity.
- The concept of global-time reparametrization suggests that the low action excitations in spin-glasses could have smooth spatial variations, potentially leading to a new analytical framework for understanding short-range spin glasses.
Article Abstract
We show that the generating functional describing the slow dynamics of spin-glass systems is invariant under reparametrizations of the time. This result is general and applies for both infinite and short-range models. It follows simply from the assumption that a separation between short time scales and long time scales exists in the system, and from the constraints of causality and unitarity. Global-time reparametrization invariance suggests that the low action excitations in a spin-glass may be smoothly spatially varying time reparametrizations. These Goldstone modes may provide the basis for an analytic dynamical theory of short-range spin glasses.
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| http://dx.doi.org/10.1103/PhysRevLett.89.217201 | DOI Listing |
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