Quenched vs Annealed: Glassiness from SK to SYK
Quenched vs Annealed: Glassiness from SK to SYK
We show that any SYK-like model with finite-body interactions among \textit{local} degrees of freedom, e.g., bosons or spins, has a fundamental difference from the standard fermionic model: the former fails to be described by an annealed free energy at low temperature. In this respect, such models more closely resemble spin …