東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Renormalization, Reparameterization,...

Pettengill, Duncan.

FindBook

Google Book

Amazon

博客來

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories./
作者:	Pettengill, Duncan.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
面頁冊數:	82 p.
附註:	Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Contained By:	Dissertation Abstracts International79-11B(E).
標題:	Physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10829841
ISBN:	9780438075955

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.
Pettengill, Duncan.

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 82 p.

Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Madison, 2018.

We examine the thermodynamic behavior of a field theory resulting from a system of intersecting D3 branes, treating one brane as a probe in the Anti de Sitter--Schwarzschild geometry generated by the other branes. We examine the equation of state that is supposed to characterize the boundary field theory, and see that it exhibits features of both a local instability, at odds with the fluctuation-disspation theorem, and an unbounded free energy that gives a global instability. An effort to understand these apparent instabilities will lead to the study of a toy model that captures the important features of the brane system, and see that the apparent instabilities of the system are best described as UV divergences, that give rise to renormalization ambiguities. The degree of ambiguity introduced by renormalization will call into question the physicality of the equation of state, but as we will see, we will come to the conclusion that the infinite ambiguity is a reflection of ambiguity in the choice of order parameter, and not necessarily in the system itself. In addition, ultimately we will be able to make precise quantitative predictions about the critical thermodynamic behavior of the system, as a metastable state becomes unstable. The degree to which the conclusions we arrive at are applicable to other systems studied in AdS/CFT will also be discussed.

ISBN: 9780438075955Subjects--Topical Terms:

516296
Physics.

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.
LDR:02346nmm a2200301 4500 001 2162061
005 20181002081329.5
008 190424s2018 ||||||||||||||||| ||eng d
020 $a 9780438075955
035 $a (MiAaPQ)AAI10829841
035 $a (MiAaPQ)wisc:15423
035 $a AAI10829841
040 $a MiAaPQ $c MiAaPQ
100 1 $a Pettengill, Duncan. $3 3350035
245 1 0 $a Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2018
300 $a 82 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
500 $a Adviser: Akikazu Hashimoto.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Madison, 2018.
520 $a We examine the thermodynamic behavior of a field theory resulting from a system of intersecting D3 branes, treating one brane as a probe in the Anti de Sitter--Schwarzschild geometry generated by the other branes. We examine the equation of state that is supposed to characterize the boundary field theory, and see that it exhibits features of both a local instability, at odds with the fluctuation-disspation theorem, and an unbounded free energy that gives a global instability. An effort to understand these apparent instabilities will lead to the study of a toy model that captures the important features of the brane system, and see that the apparent instabilities of the system are best described as UV divergences, that give rise to renormalization ambiguities. The degree of ambiguity introduced by renormalization will call into question the physicality of the equation of state, but as we will see, we will come to the conclusion that the infinite ambiguity is a reflection of ambiguity in the choice of order parameter, and not necessarily in the system itself. In addition, ultimately we will be able to make precise quantitative predictions about the critical thermodynamic behavior of the system, as a metastable state becomes unstable. The degree to which the conclusions we arrive at are applicable to other systems studied in AdS/CFT will also be discussed.
590 $a School code: 0262.
650 4 $a Physics. $3 516296
650 4 $a High energy physics. $3 2144759
690 $a 0605
690 $a 0798
710 2 $a The University of Wisconsin - Madison. $b Physics. $3 2094813
773 0 $t Dissertation Abstracts International $g 79-11B(E).
790 $a 0262
791 $a Ph.D.
792 $a 2018
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10829841