Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

Autor:	Berkooz, Micha, Narayan, Prithvi, Simon, Joan
Rok vydání:	2018
Předmět:	High Energy Physics - Theory Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics Condensed Matter - Strongly Correlated Electrons Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP08(2018)192
Popis:	The exact 2-point function of certain physically motivated operators in SYK-like spin glass models is computed, bypassing the Schwinger-Dyson equations. The models possess an IR low energy conformal window, but our results are exact at all time scales. The main tool developed is a new approach to the combinatorics of chord diagrams, allowing to rewrite the spin glass system using an auxiliary Hilbert space, and Hamiltonian, built on the space of open chord diagrams. We argue the latter can be interpreted as the bulk description and that it reduces to the Schwarzian action in the low energy limit. Comment: 38 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.04380 Zobrazit plný text záznamu View this record from Arxiv