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Time-reparametrization invariances, multithermalization and the Parisi scheme
by Jorge Kurchan
|As Contributors:||Jorge Kurchan|
|Arxiv Link:||https://arxiv.org/abs/2101.12702v4 (pdf)|
|Date submitted:||2022-09-07 11:02|
|Submitted by:||Kurchan, Jorge|
|Submitted to:||SciPost Physics|
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.
For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
List of changes
All typos corrected. Clarifications requested added.
Submission & Refereeing History
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