Spectral form factor for time-dependent matrix model

A bstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N . The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior i...

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Bibliographic Details
Published in:The journal of high energy physics 2021-03, Vol.2021 (3), p.1-36, Article 71
Main Authors: Mukherjee, Arkaprava, Hikami, Shinobu
Format: Article
Language:English
Subjects:
1/N Expansion
Behavior
Classical and Quantum Gravitation
Elementary Particles
Form factors
Fourier transforms
High energy physics
Immersion plating
Matrix Models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Random Systems
Regular Article - Theoretical Physics
Relativity Theory
Rounding
Science education
Spectra
String Theory
Time dependence
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Summary:A bstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N . The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of M 1 and M 2 . The numerical evaluation for finite N and analytic expression in the large N are compared for the spectral form factor.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2021)071