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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 | |
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| Preprint Link: | https://arxiv.org/abs/2101.12702v4 (pdf) |
| Date accepted: | 2022-10-04 |
| Date submitted: | 2022-09-07 11:02 |
| Submitted by: | Kurchan, Jorge |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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)