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

LQG for the bewildered = the self-du...

Vaid, Deepak.

FindBook

Google Book

Amazon

博客來

LQG for the bewildered = the self-dual approach revisited /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	LQG for the bewildered/ by Deepak Vaid, Sundance Bilson-Thompson.
其他題名:	the self-dual approach revisited /
作者:	Vaid, Deepak.
其他作者:	Bilson-Thompson, Sundance.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	ix, 138 p. :ill., digital ;24 cm.
內容註:	Introduction -- Classical GR -- Quantum Field Theory -- Expanding on classical GR -- First steps to a theory of Quantum Gravity -- Kinematical Hilbert Space -- Black Hole Entropy -- Discussion and recent developments -- Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, Peter-Weyl Theorem, Square-Free Numbers, Brahmagupta-Pell Equation, Quadratic Integers and the BP Equation, Kodama State, 3j-symbols, Regge Calculus.
Contained By:	Springer eBooks
標題:	Quantum gravity. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-43184-0
ISBN:	9783319431840

LQG for the bewildered = the self-dual approach revisited /
Vaid, Deepak.

LQG for the bewilderedthe self-dual approach revisited /[electronic resource] :by Deepak Vaid, Sundance Bilson-Thompson. - Cham :Springer International Publishing :2017. - ix, 138 p. :ill., digital ;24 cm.

Introduction -- Classical GR -- Quantum Field Theory -- Expanding on classical GR -- First steps to a theory of Quantum Gravity -- Kinematical Hilbert Space -- Black Hole Entropy -- Discussion and recent developments -- Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, Peter-Weyl Theorem, Square-Free Numbers, Brahmagupta-Pell Equation, Quadratic Integers and the BP Equation, Kodama State, 3j-symbols, Regge Calculus.

This primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR) The emphasis is on the physical aspects of the framework and its historical development in terms of self-dual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the Einstein-Hilbert action for gravity to the construction of the quantum states of geometry, known as spin-networks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spin-connection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the Peter-Weyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field.

ISBN: 9783319431840

Standard No.: 10.1007/978-3-319-43184-0doiSubjects--Topical Terms:

550930
Quantum gravity.

LC Class. No.: QC178

Dewey Class. No.: 530.12

LQG for the bewildered = the self-dual approach revisited /
LDR:03149nmm a2200325 a 4500 001 2088254
003 DE-He213
005 20161007173108.0
006 m d
007 cr nn 008maaau
008 171013s2017 gw s 0 eng d
020 $a 9783319431840 $q (electronic bk.)
020 $a 9783319431826 $q (paper)
024 7 $a 10.1007/978-3-319-43184-0 $2 doi
035 $a 978-3-319-43184-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QC178
072 7 $a PHDV $2 bicssc
072 7 $a PHR $2 bicssc
072 7 $a SCI033000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC178 $b .V128 2017
100 1 $a Vaid, Deepak. $3 3217885
245 1 0 $a LQG for the bewildered $h [electronic resource] : $b the self-dual approach revisited / $c by Deepak Vaid, Sundance Bilson-Thompson.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a ix, 138 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Classical GR -- Quantum Field Theory -- Expanding on classical GR -- First steps to a theory of Quantum Gravity -- Kinematical Hilbert Space -- Black Hole Entropy -- Discussion and recent developments -- Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, Peter-Weyl Theorem, Square-Free Numbers, Brahmagupta-Pell Equation, Quadratic Integers and the BP Equation, Kodama State, 3j-symbols, Regge Calculus.
520 $a This primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR) The emphasis is on the physical aspects of the framework and its historical development in terms of self-dual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the Einstein-Hilbert action for gravity to the construction of the quantum states of geometry, known as spin-networks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spin-connection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the Peter-Weyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field.
650 0 $a Quantum gravity. $3 550930
650 1 4 $a Physics. $3 516296
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 1067066
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
700 1 $a Bilson-Thompson, Sundance. $3 3217886
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-43184-0
950 $a Physics and Astronomy (Springer-11651)