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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories./
Author:	Pettengill, Duncan.
Description:	1 online resource (82 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Contained By:	Dissertation Abstracts International79-11B(E).
Subject:	Physics. -
Online resource:	click for full text (PQDT)
ISBN:	9780438075955

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

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories. - 1 online resource (82 pages)

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

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

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780438075955Subjects--Topical Terms:

564049
Physics.
Index Terms--Genre/Form:

554714
Electronic books.

Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.
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100 1 $a Pettengill, Duncan. $3 1190354
245 1 0 $a Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories.
264 0 $c 2018
300 $a 1 online resource (82 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Physics. $3 564049
650 4 $a High energy physics. $3 1180812
655 7 $a Electronic books. $2 local $3 554714
690 $a 0605
690 $a 0798
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Wisconsin - Madison. $b Physics. $3 1190355
773 0 $t Dissertation Abstracts International $g 79-11B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10829841 $z click for full text (PQDT)