Phys. Rev. D
 2016
DOI: 10.1103/physrevd.94.106002
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Remarks on the Sachdev-Ye-Kitaev model

Juan Maldacena
1
,
Douglas Stanford
2

Abstract: We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of N Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large N limit, where the classical variable is a bilocal fermion bilinear. The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. We study two and four point functions of the fundamental fermions. This provides the spectrum of physical excitations for the bilocal field.The … Show more

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Cited by 2,166 publications

(3,738 citation statements)
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“…One can see a really good agreement between theory and numerics at low frequencies. We notice that since α A 1 term is subleading we can not fix it with good precision, in contrast α A 0 can be fixed with high accuracy and our result agrees well with previous computation of this term in [6].…”
Section: Numerical Results For Spinon Spectrasupporting
confidence: 91%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
show abstract
“…One can see a really good agreement between theory and numerics at low frequencies. We notice that since α A 1 term is subleading we can not fix it with good precision, in contrast α A 0 can be fixed with high accuracy and our result agrees well with previous computation of this term in [6].…”
Section: Numerical Results For Spinon Spectrasupporting
confidence: 91%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
show abstract
“…For initial N ÉEL state, the beneficial effect of the memory effect of L = σ z to the emergence of quantum information scrambling can also be seen in Figs. 16 and 17, which are consistent with those shown in Figs. 6 and 7.…”
Section: Discussionsupporting
confidence: 91%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
show abstract
“…Agreement with exact numerical results is excellent and is consistent with moments that are accurate including order 1/N corrections. Our results also agree with the free energy in the large N, q limit studied in [2] by completely different methods.…”
Section: Discussionsupporting
confidence: 88%
Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.
show abstract
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