東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Quantum triangulations = moduli spac...

Carfora, Mauro.

Linked to FindBook

Google Book

Amazon

博客來

Quantum triangulations = moduli space, quantum computing, non-linear sigma models and ricci flow /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum triangulations/ by Mauro Carfora, Annalisa Marzuoli.
Reminder of title:	moduli space, quantum computing, non-linear sigma models and ricci flow /
Author:	Carfora, Mauro.
other author:	Marzuoli, Annalisa.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xx, 392 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Triangulating manifolds. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-67937-2
ISBN:	9783319679372

Quantum triangulations = moduli space, quantum computing, non-linear sigma models and ricci flow /
Carfora, Mauro.

Quantum triangulationsmoduli space, quantum computing, non-linear sigma models and ricci flow /[electronic resource] :by Mauro Carfora, Annalisa Marzuoli. - 2nd ed. - Cham :Springer International Publishing :2017. - xx, 392 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v.9420075-8450 ;. - Lecture notes in physics ;v.942..

This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models' effective action to Perelman's energy-functional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications.

ISBN: 9783319679372

Standard No.: 10.1007/978-3-319-67937-2doiSubjects--Topical Terms:

705028
Triangulating manifolds.

LC Class. No.: QC20.7.M24

Dewey Class. No.: 530.12

Quantum triangulations = moduli space, quantum computing, non-linear sigma models and ricci flow /
LDR:03239nmm a2200325 a 4500 001 2112606
003 DE-He213
005 20180523163357.0
006 m d
007 cr nn 008maaau
008 180719s2017 gw s 0 eng d
020 $a 9783319679372 $q (electronic bk.)
020 $a 9783319679365 $q (paper)
024 7 $a 10.1007/978-3-319-67937-2 $2 doi
035 $a 978-3-319-67937-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.M24
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC20.7.M24 $b C276 2017
100 1 $a Carfora, Mauro. $3 1069901
245 1 0 $a Quantum triangulations $h [electronic resource] : $b moduli space, quantum computing, non-linear sigma models and ricci flow / $c by Mauro Carfora, Annalisa Marzuoli.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xx, 392 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.942
520 $a This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models' effective action to Perelman's energy-functional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications.
650 0 $a Triangulating manifolds. $3 705028
650 0 $a Physics. $3 516296
650 0 $a Mathematical physics. $3 516853
650 0 $a Manifolds (Mathematics) $3 612607
650 0 $a Complex manifolds. $3 660495
650 0 $a Gravitation. $3 535769
650 0 $a Quantum theory. $3 516552
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology). $3 895123
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 1067066
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Numerical and Computational Physics, Simulation. $3 2209853
700 1 $a Marzuoli, Annalisa. $3 1069902
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v v.942. $3 3270482
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-67937-2
950 $a Physics and Astronomy (Springer-11651)