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

Euclidean quantum field theory: Curv...

Ritter, William Gordon.

FindBook

Google Book

Amazon

博客來

Euclidean quantum field theory: Curved spacetimes and gauge fields.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Euclidean quantum field theory: Curved spacetimes and gauge fields./
作者:	Ritter, William Gordon.
面頁冊數:	251 p.
附註:	Adviser: Arthur Michael Jaffe.
Contained By:	Dissertation Abstracts International68-05B.
標題:	Physics, Theory. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3265070
ISBN:	9780549036302

Euclidean quantum field theory: Curved spacetimes and gauge fields.
Ritter, William Gordon.

Euclidean quantum field theory: Curved spacetimes and gauge fields. - 251 p.

Adviser: Arthur Michael Jaffe.

Thesis (Ph.D.)--Harvard University, 2007.

This thesis presents a new formulation of quantum field theory (QFT) on curved spacetimes, with definite advantages over previous formulations, and an introduction to the millennium prize problem on four-dimensional gauge theory. Our constructions are completely rigorous, making QFT on curved spacetimes into a subfield of mathematics, and we achieve the first analytic control over nonperturbative aspects of interacting theories on curved spacetimes.

ISBN: 9780549036302Subjects--Topical Terms:

1019422
Physics, Theory.

Euclidean quantum field theory: Curved spacetimes and gauge fields.
LDR:03035nam 2200301 a 45 001 958304
005 20110704
008 110704s2007 ||||||||||||||||| ||eng d
020 $a 9780549036302
035 $a (UMI)AAI3265070
035 $a AAI3265070
040 $a UMI $c UMI
100 1 $a Ritter, William Gordon. $3 1281762
245 1 0 $a Euclidean quantum field theory: Curved spacetimes and gauge fields.
300 $a 251 p.
500 $a Adviser: Arthur Michael Jaffe.
500 $a Source: Dissertation Abstracts International, Volume: 68-05, Section: B, page: 3130.
502 $a Thesis (Ph.D.)--Harvard University, 2007.
520 $a This thesis presents a new formulation of quantum field theory (QFT) on curved spacetimes, with definite advantages over previous formulations, and an introduction to the millennium prize problem on four-dimensional gauge theory. Our constructions are completely rigorous, making QFT on curved spacetimes into a subfield of mathematics, and we achieve the first analytic control over nonperturbative aspects of interacting theories on curved spacetimes.
520 $a The success of Euclidean path integrals to capture nonperturbative aspects of QFT has been striking. The Euclidean path integral is the most accurate method of calculating strong-coupling effects in gauge theory (such as glueball masses). Euclidean methods are also useful in the study of black holes, as evidenced by the Hartle-Hawking calculation of black-hole radiance. From a mathematical point of view, on flat spacetimes the Euclidean functional integral provides the most elegant method of constructing examples of interacting relativistic field theories.
520 $a Yet until now, the incredibly-useful Euclidean path integral had never been given a definitive mathematical treatment on curved backgrounds. It is our aim to rectify this situation. Along the way, we discover that the Dirac operator on an arbitrary Clifford bundle has a resolvent kernel which is the Laplace transform of a positive measure. In studying spacetime symmetries, we discover a new way of constructing unitary representations of noncompact Lie groups. We also define and explore an interesting notion of convergence for Laplacians.
520 $a The same mathematical framework applies to scalar fields, fermions, and gauge fields. The later chapters are devoted to gauge theory. We present a rigorous, self-contained introduction to the subject, aimed at mathematicians and using the language of modern mathematics, with a view towards nonperturbative renormalization in four dimensions. The latter ideas are unfinished. A completion of the final chapter would imply the construction of a non-trivial interacting theory in four dimensions. We merely give some idea of how these important questions can be addressed.
590 $a School code: 0084.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 68-05B.
790 $a 0084
790 1 0 $a Jaffe, Arthur Michael, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3265070