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

Mathematically rigorous quantum fiel...

Maitra, Rachel Lash.

FindBook

Google Book

Amazon

博客來

Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator./
作者:	Maitra, Rachel Lash.
面頁冊數:	76 p.
附註:	Adviser: Vincent Moncrief.
Contained By:	Dissertation Abstracts International68-12B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3293348
ISBN:	9780549372813

Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator.
Maitra, Rachel Lash.

Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator. - 76 p.

Adviser: Vincent Moncrief.

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

The ongoing quantization of the four fundamental forces of nature represents one of the most fruitful grounds for cross-pollination between physics and mathematics. While remaining vastly open, substantial progress has been made in the last decades: the expression of all basic physical theories in terms of geometry, specifically as gauge theories. This is accomplished by the recognition of the strong, weak, and electromagnetic fields as Yang-Mills (gauge) fields, and by the re-writing of general relativity in terms of gauge connection variables.

ISBN: 9780549372813Subjects--Topical Terms:

515831
Mathematics.

Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator.
LDR:03055nam 2200313 a 45 001 942181
005 20110519
008 110519s2007 ||||||||||||||||| ||eng d
020 $a 9780549372813
035 $a (UMI)AAI3293348
035 $a AAI3293348
040 $a UMI $c UMI
100 1 $a Maitra, Rachel Lash. $3 1266278
245 1 0 $a Mathematically rigorous quantum field theories with a nonlinear normal ordering of the Hamiltonian operator.
300 $a 76 p.
500 $a Adviser: Vincent Moncrief.
500 $a Source: Dissertation Abstracts International, Volume: 68-12, Section: B, page: 8067.
502 $a Thesis (Ph.D.)--Yale University, 2007.
520 $a The ongoing quantization of the four fundamental forces of nature represents one of the most fruitful grounds for cross-pollination between physics and mathematics. While remaining vastly open, substantial progress has been made in the last decades: the expression of all basic physical theories in terms of geometry, specifically as gauge theories. This is accomplished by the recognition of the strong, weak, and electromagnetic fields as Yang-Mills (gauge) fields, and by the re-writing of general relativity in terms of gauge connection variables.
520 $a The method of canonical quantization offers several advantages in treating gauge theories: the gauge fields themselves are the basic variables, while gauge constraints promote to quantum operators whose commutation relations reflect the classical Poisson brackets.
520 $a In this thesis I construct a zero-energy ground state for canonically quantized Yang-Mills theory, for a particular ("nonlinear normal") factor ordering of the Hamiltonian operator. The inspiration for this project is to find an alternative to the Chern-Simons and Kodama states. These are closely related ground state solutions for (respectively) quantum Yang-Mills theory and quantum gravity with a positive cosmological constant. Objections to the Chem-Simons and Kodama states come from, among other arguments, their apparent lack of well-defined decay "at infinity." The ground state I have constructed, as the exponentiation of a strictly non-positive functional, manifestly enjoys good decay properties. In addition, I have constructed a similar ground state for scalar ϕ4 theory. The construction of these ground states represents a generalization to quantum field theories of work done by my thesis advisor V. Moncrief, in collaboration with M. Ryan, for quantum mechanical situations.
520 $a Gauge, rotation, and translation invariance are directly verifiable for the nonlinear normal ordered Yang-Mills ground state; invariance under boosts remains as a question for future work. The analogous state for the abelian case (free Maxwell theory) enjoys full Poincare invariance.
590 $a School code: 0265.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Theory. $3 1019422
690 $a 0405
690 $a 0753
710 2 $a Yale University. $3 515640
773 0 $t Dissertation Abstracts International $g 68-12B.
790 $a 0265
790 1 0 $a Moncrief, Vincent, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3293348