國立高雄大學圖資館 |

Language: English

Back

Quantum triangulationsmoduli space, ...

Carfora, Mauro.

Quantum triangulationsmoduli space, quantum computing, non-linear sigma models and ricci flow /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum triangulationsby 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$q(electronic bk.)

Quantum triangulationsmoduli 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 ;650..

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$q(electronic bk.)

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

560163
Triangulating manifolds.

LC Class. No.: QC20.7.M24

Dewey Class. No.: 530.12

Quantum triangulationsmoduli space, quantum computing, non-linear sigma models and ricci flow /
LDR:03239nmm a2200325 a 4500 001 525371
003 DE-He213
005 20180523163357.0
006 m d
007 cr nn 008maaau
008 180904s2017 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 466742
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 560163
650 0 $a Physics. $3 179414
650 0 $a Mathematical physics. $3 190854
650 0 $a Manifolds (Mathematics) $3 198996
650 0 $a Complex manifolds. $3 266873
650 0 $a Gravitation. $3 275002
650 0 $a Quantum theory. $3 199020
650 2 4 $a Quantum Physics. $3 275010
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology). $3 560164
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 376367
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Numerical and Computational Physics, Simulation. $3 758154
700 1 $a Marzuoli, Annalisa. $3 466741
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v 650. $3 451204
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-67937-2
950 $a Physics and Astronomy (Springer-11651)