國立高雄大學圖資館 |

Language: English

Back

Colored discrete spaceshigher dimens...

Lionni, Luca.

Colored discrete spaceshigher dimensional combinatorial maps and quantum gravity /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Colored discrete spacesby Luca Lionni.
Reminder of title:	higher dimensional combinatorial maps and quantum gravity /
Author:	Lionni, Luca.
Published:	Cham :Springer International Publishing :2018.
Description:	xviii, 218 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical physics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-96023-4
ISBN:	9783319960234$q(electronic bk.)

Colored discrete spaceshigher dimensional combinatorial maps and quantum gravity /
Lionni, Luca.

Colored discrete spaceshigher dimensional combinatorial maps and quantum gravity /[electronic resource] :by Luca Lionni. - Cham :Springer International Publishing :2018. - xviii, 218 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Colored Simplices and Edge-Colored Graphs -- Bijective Methods -- Properties of Stacked Maps -- Summary and Outlook.

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.

ISBN: 9783319960234$q(electronic bk.)

Standard No.: nam a2200325 a 4500Subjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20 / .L566 2018

Dewey Class. No.: 530.15

Colored discrete spaceshigher dimensional combinatorial maps and quantum gravity /
LDR:02463nmm a2200337 a 4500 001 543239
003 DE-He213
005 20190213111710.0
006 m d
007 cr nn 008maaau
008 190411s2018 gw s 0 eng d
020 $a 9783319960234$q(electronic bk.)
020 $a 9783319960227$q(paper)
024 2 # $a nam a2200325 a 4500
024 7 # $a 10.1007/978-3-319-96023-4 $2 doi
035 $a 978-3-319-96023-4
040 $a GP $c GP
041 0 # $a eng
050 # 4 $a QC20 $b .L566 2018
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .L763 2018
100 1 $a Lionni, Luca. $3 821438
245 1 0 $a Colored discrete spaces $h [electronic resource] : $b higher dimensional combinatorial maps and quantum gravity / $c by Luca Lionni.
260 # $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xviii, 218 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 # $a Colored Simplices and Edge-Colored Graphs -- Bijective Methods -- Properties of Stacked Maps -- Summary and Outlook.
520 # $a This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.
650 # 0 $a Mathematical physics. $3 190854
650 # 0 $a Quantum gravity $x Mathematics. $3 821439
650 # 0 $a Combinatorial analysis. $3 182280
650 1 4 $a Physics. $3 179414
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 376367
650 2 4 $a Geometry. $3 183883
710 2 # $a SpringerLink (Online service) $3 273601
773 0 # $t Springer eBooks
830 0 $a Springer theses. $3 557607
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-96023-4
950 $a Physics and Astronomy (Springer-11651)