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Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism
by Johannes Lang, Subir Sachdev, Sebastian Diehl
Submission summary
Authors (as registered SciPost users): | Johannes Lang · Subir Sachdev |
Submission information | |
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Preprint Link: | scipost_202406_00046v1 (pdf) |
Date submitted: | 2024-06-19 15:13 |
Submitted by: | Lang, Johannes |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
At asymptotically late times ultrametricity can emerge from the persistent slow aging dynamics of the glass phase. We show that this suffices to recover the breaking of replica symmetry in mean-field spin glasses from the late time limit of the time evolution using the Keldysh path integral. This provides an alternative approach to replica symmetry breaking by connecting it rigorously to the dynamic formulation. Stationary spin glasses are thereby understood to spontaneously break thermal symmetry, or the Kubo-Martin-Schwinger relation of a state in global thermal equilibrium. We demonstrate our general statements for the spherical quantum $p$-spin model and the quantum Sherrington-Kirkpatrick model in the presence of transverse and longitudinal fields. In doing so, we also derive their dynamical Ginzburg-Landau effective Keldysh actions starting from microscopic quantum models.
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