WEKO3
-
RootNode
アイテム
Exact results on the ABJM Fermi gas
http://hdl.handle.net/10091/00019031
http://hdl.handle.net/10091/00019031a70c63ad-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 (401.9 kB)
|
|
| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2016-08-19 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Exact results on the ABJM Fermi gas | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| DOI | ||||||||||||
| 関連識別子 | https://doi.org/10.1007/JHEP10(2012)020 | |||||||||||
| 関連名称 | 10.1007/JHEP10(2012)020 | |||||||||||
| キーワード | ||||||||||||
| 主題 | Matrix Models, Chern-Simons Theories, 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
× Moriyama, Sanefumi
× Okuyama, Kazumi
|
|||||||||||
| 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 | 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 | 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） | ||||||||||||
| 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 | |||||||||||
| 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 | ||||||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000310851800047 | |||||||||||
Share
Cite as
Hatsuda, Yasuyuki, Moriyama, Sanefumi, Okuyama, Kazumi, 2012, Exact results on the ABJM Fermi gas: SPRINGER, 20– p.
Loading...
