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Time-reparametrization invariances, multithermalization and the Parisi scheme

by Jorge Kurchan

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Submission summary

Authors (as registered SciPost users): Jorge Kurchan
Submission information
Preprint Link:  (pdf)
Date accepted: 2022-10-04
Date submitted: 2022-09-07 11:02
Submitted by: Kurchan, Jorge
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Statistical and Soft Matter Physics
Approach: Theoretical


The Parisi scheme for equilibrium and the corresponding slow dynamics with multithermalization - same temperature common to all observables, different temperatures only possible at widely separated timescales -- imply one another. Consistency requires that two systems brought into infinitesimal coupling be able to rearrange their timescales in order that all their temperatures match: this time reorganisation is only possible because the systems have a set of time-reparametrization invariances, that are thus seen to be an essential component of the scenario.

List of changes

All typos corrected. Clarifications requested added.

Published as SciPost Phys. Core 6, 001 (2023)

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