Exact four point function for large q SYK from Regge theory
<p>Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large <em>q</em> SYK model valid at arbitrary temperatures and to leading order in 1/<em>N</...
| मुख्य लेखकों: | , , |
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| स्वरूप: | Journal article |
| भाषा: | English |
| प्रकाशित: |
Springer
2021
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| _version_ | 1826310380212715520 |
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| author | Choi, C Mezei, M Sarosi, G |
| author_facet | Choi, C Mezei, M Sarosi, G |
| author_sort | Choi, C |
| collection | OXFORD |
| description | <p>Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large <em>q</em> SYK model valid at arbitrary temperatures and to leading order in 1/<em>N</em>. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. The derivation proceeds by the Sommerfeld-Watson resummation of an infinite series that recasts the four point function as a sum of three Regge poles. The location of these poles determines the Lyapunov exponent that interpolates between zero and the maximal value as the temperature is decreased. Our results are in complete agreement with the ones by Streicher [1] obtained using a different method.</p> |
| first_indexed | 2024-03-07T07:50:56Z |
| format | Journal article |
| id | oxford-uuid:32bd538e-4e02-4d2b-a424-47ed87c5e4f3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:50:56Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:32bd538e-4e02-4d2b-a424-47ed87c5e4f32023-07-14T10:11:42ZExact four point function for large q SYK from Regge theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:32bd538e-4e02-4d2b-a424-47ed87c5e4f3EnglishSymplectic ElementsSpringer2021Choi, CMezei, MSarosi, G<p>Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large <em>q</em> SYK model valid at arbitrary temperatures and to leading order in 1/<em>N</em>. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. The derivation proceeds by the Sommerfeld-Watson resummation of an infinite series that recasts the four point function as a sum of three Regge poles. The location of these poles determines the Lyapunov exponent that interpolates between zero and the maximal value as the temperature is decreased. Our results are in complete agreement with the ones by Streicher [1] obtained using a different method.</p> |
| spellingShingle | Choi, C Mezei, M Sarosi, G Exact four point function for large q SYK from Regge theory |
| title | Exact four point function for large q SYK from Regge theory |
| title_full | Exact four point function for large q SYK from Regge theory |
| title_fullStr | Exact four point function for large q SYK from Regge theory |
| title_full_unstemmed | Exact four point function for large q SYK from Regge theory |
| title_short | Exact four point function for large q SYK from Regge theory |
| title_sort | exact four point function for large q syk from regge theory |
| work_keys_str_mv | AT choic exactfourpointfunctionforlargeqsykfromreggetheory AT mezeim exactfourpointfunctionforlargeqsykfromreggetheory AT sarosig exactfourpointfunctionforlargeqsykfromreggetheory |