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Titlebook: Colored Discrete Spaces; Higher Dimensional C Luca Lionni Book 2018 Springer Nature Switzerland AG 2018 Discrete/Simplicial Quantum Gravity

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书目名称Colored Discrete Spaces
副标题Higher Dimensional C
编辑Luca Lionni
视频videohttp://file.papertrans.cn/230/229778/229778.mp4
概述Nominated as an outstanding Ph.D. thesis by the University of Paris-Sud, Orsay, France.Clearly explained and including many pedagogical figures and new results.Marks significant progress towards devel
丛书名称Springer Theses
图书封面Titlebook: Colored Discrete Spaces; Higher Dimensional C Luca Lionni Book 2018 Springer Nature Switzerland AG 2018 Discrete/Simplicial Quantum Gravity
描述.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 combinatoria
出版日期Book 2018
关键词Discrete/Simplicial Quantum Gravity; Dynamical Triangulations; Random Tensor Models; Colored Triangulat
版次1
doihttps://doi.org/10.1007/978-3-319-96023-4
isbn_softcover978-3-030-07133-2
isbn_ebook978-3-319-96023-4Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Nature Switzerland AG 2018
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Book 2018quantum 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 rando
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Simulation mechatronischer Systemehe bijection is therefore that it should keep track of the number of .-cells, and map configurations to recognizable combinatorial families. We come to the general bijection step-by-step, by first looking at a simple case, then applying Tutte’s bijection, and then generalizing to any kind of colored graph.
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Zeitdiskrete Systembeschreibung,cting to maximal maps. Another of our goals is to obtain general properties for the coefficient . and the scaling . leading to well-defined and non-trivial bubble-dependent degrees, and to consistent 1 / . expansions: Do they exist? Are they uniquely defined?.
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