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  1. 040 理学部
  2. 0401 学術論文

Exact results on the ABJM Fermi gas

http://hdl.handle.net/10091/00019031
http://hdl.handle.net/10091/00019031
a70c63ad-6415-4997-92cb-09a31d6803df
名前 / ファイル ライセンス アクション
Exact_results_on_the_ABJM_Fermi_gas.pdf Exact_results_on_the_ABJM_Fermi_gas.pdf (401.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2016-08-19
タイトル
言語 en
タイトル Exact results on the ABJM Fermi gas
言語
言語 eng
キーワード
主題Scheme Other
主題 Matrix Models
キーワード
主題Scheme Other
主題 Chern-Simons Theories
キーワード
主題Scheme Other
主題 M-Theory
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Hatsuda, Yasuyuki

× Hatsuda, Yasuyuki

WEKO 50990

Hatsuda, Yasuyuki

Search repository
Moriyama, Sanefumi

× Moriyama, Sanefumi

WEKO 50991

Moriyama, Sanefumi

Search repository
Okuyama, Kazumi

× Okuyama, Kazumi

WEKO 50992

Okuyama, Kazumi

Search repository
信州大学研究者総覧へのリンク
氏名 Okuyama, Kazumi
URL http://soar-rd.shinshu-u.ac.jp/profile/ja.gaSeOakh.html
出版者
出版者 SPRINGER
引用
内容記述タイプ Other
内容記述 JOURNAL OF HIGH ENERGY PHYSICS. 2012(10):20 (2012)
書誌情報 JOURNAL OF HIGH ENERGY PHYSICS

巻 2012, 号 10, p. 20, 発行日 2012-10
抄録
内容記述タイプ Abstract
内容記述 We study the Fermi gas quantum mechanics associated to the ABJM matrix model. We develop a method to compute the grand partition function of the ABJM theory, and compute exactly the partition function Z (N) up to N = 9 with the Chern-Simons level k = 1. We find that the eigenvalue problem of this quantum mechanical system is reduced to the diagonalization of a certain Hankel matrix. In reducing the number of integrations by commuting coordinates and momenta, we find an exact relation concerning the grand partition function, which is interesting on its own right and very helpful for determining the partition function. We also study the TBA-type integral equations that allow us to compute the grand partition function numerically. Surprisingly, all of our exact partition functions are written in terms of polynomials of pi(-1) with rational coefficients.
資源タイプ(コンテンツの種類)
内容記述タイプ Other
内容記述 Article
ISSN
収録物識別子タイプ ISSN
収録物識別子 1029-8479
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA1188279X
DOI
識別子タイプ DOI
関連識別子 https://doi.org/10.1007/JHEP10(2012)020
関連名称 10.1007/JHEP10(2012)020
権利
権利情報 © 2012 SISSA, Trieste, Italy. The final publication is available at link.springer.com
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
WoS
表示名 Web of Science
URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000310851800047
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