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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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| Published in: | The journal of high energy physics 2021-03, Vol.2021 (3), p.1-36, Article 71 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c527t-29b9d6910152863bcba97c3aad3806ed3c8189a4a005c957287529780f1280943 |
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| cites | cdi_FETCH-LOGICAL-c527t-29b9d6910152863bcba97c3aad3806ed3c8189a4a005c957287529780f1280943 |
| container_end_page | 36 |
| container_issue | 3 |
| container_start_page | 1 |
| container_title | The journal of high energy physics |
| container_volume | 2021 |
| creator | Mukherjee, Arkaprava Hikami, Shinobu |
| description | 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. |
| doi_str_mv | 10.1007/JHEP03(2021)071 |
| format | article |
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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.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP03(2021)071</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>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</subject><ispartof>The journal of high energy physics, 2021-03, Vol.2021 (3), p.1-36, Article 71</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c527t-29b9d6910152863bcba97c3aad3806ed3c8189a4a005c957287529780f1280943</citedby><cites>FETCH-LOGICAL-c527t-29b9d6910152863bcba97c3aad3806ed3c8189a4a005c957287529780f1280943</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2497365088/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2497365088?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Mukherjee, Arkaprava</creatorcontrib><creatorcontrib>Hikami, Shinobu</creatorcontrib><title>Spectral form factor for time-dependent matrix model</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>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.</description><subject>1/N Expansion</subject><subject>Behavior</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Form factors</subject><subject>Fourier transforms</subject><subject>High energy physics</subject><subject>Immersion plating</subject><subject>Matrix Models</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Random Systems</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Rounding</subject><subject>Science education</subject><subject>Spectra</subject><subject>String Theory</subject><subject>Time dependence</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UE1LwzAYDqLg_Dh7LXjRQ92bjzbJUcZ0k4GCeg5pmoyOtplpBvrvzayoF0_Pw8vz8fIgdIHhBgPw6cNi_gT0igDB18DxAZpgIDIXjMvDP_wYnQzDBgAXWMIEseetNTHoNnM-dJnTJvqw51lsOpvXdmv72vYx63QMzXvW-dq2Z-jI6Xaw5994il7v5i-zRb56vF_Oble5KQiPOZGVrEuJUxcRJa1MpSU3VOuaCihtTY3AQmqmAQojC04EL4jkAhwmAiSjp2g55tZeb9Q2NJ0OH8rrRn0dfFgrHWJjWqtkxVhpCXe8KpkBU5UaaALDaF04Z1PW5Zi1Df5tZ4eoNn4X-vS-IkxyWhYgRFJNR5UJfhiCdT-tGNR-ZjXOrPYzqzRzcsDoGJKyX9vwm_uf5RPC5nya</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Mukherjee, Arkaprava</creator><creator>Hikami, Shinobu</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope></search><sort><creationdate>20210301</creationdate><title>Spectral form factor for time-dependent matrix model</title><author>Mukherjee, Arkaprava ; 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High Energ. Phys</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>2021</volume><issue>3</issue><spage>1</spage><epage>36</epage><pages>1-36</pages><artnum>71</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>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.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP03(2021)071</doi><tpages>36</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | The journal of high energy physics, 2021-03, Vol.2021 (3), p.1-36, Article 71 |
| issn | 1029-8479 1029-8479 |
| language | eng |
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| source | Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access |
| 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 |
| title | Spectral form factor for time-dependent matrix model |
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