Random Tensors

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Bibliographic Details
Title:	Random Tensors
Description:	Written by the creator of the modern theory of random tensors, this book is the first self-contained introductory text to this rapidly developing theory. Starting from notions familiar to the average researcher or PhD student in mathematical or theoretical physics, the book presents in detail the theory and its applications to physics. The recent detections of the Higgs boson at the LHC and gravitational waves at LIGO mark new milestones in Physics confirming long standing predictions of Quantum Field Theory and General Relativity. These two experimental results only reinforce today the need to find an underlying common framework of the two: the elusive theory of Quantum Gravity. Over the past thirty years, several alternatives have been proposed as theories of Quantum Gravity, chief among them String Theory. While these theories are yet to be tested experimentally, key lessons have already been learned. Whatever the theory of Quantum Gravity may be, it must incorporate random geometry in one form or another. This book introduces a framework for studying random geometries in any dimensions. Building on the resounding success of random matrices as theories of random two dimensional surfaces, random tensors are their natural generalization to theories of random geometry in arbitrary dimension. This book shows that many of the celebrated results in random matrices, most notably't Hooft's 1/N expansion, can be generalized to higher dimensions. It provides a complete and self-contained derivation of the key results on random tensors.
Authors:	Răzvan Gheorghe Gurău
Resource Type:	eBook.
Subjects:	Random matrices, Tensor fields, Quantum field theory, Geometric quantization
Categories:	SCIENCE / Physics / Mathematical & Computational
Database:	eBook Collection (EBSCOhost)

FullText	Links: – Type: ebook-pdf Text: Availability: 0
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Items	– Name: Title Label: Title Group: Ti Data: Random Tensors – Name: Abstract Label: Description Group: Ab Data: Written by the creator of the modern theory of random tensors, this book is the first self-contained introductory text to this rapidly developing theory. Starting from notions familiar to the average researcher or PhD student in mathematical or theoretical physics, the book presents in detail the theory and its applications to physics. The recent detections of the Higgs boson at the LHC and gravitational waves at LIGO mark new milestones in Physics confirming long standing predictions of Quantum Field Theory and General Relativity. These two experimental results only reinforce today the need to find an underlying common framework of the two: the elusive theory of Quantum Gravity. Over the past thirty years, several alternatives have been proposed as theories of Quantum Gravity, chief among them String Theory. While these theories are yet to be tested experimentally, key lessons have already been learned. Whatever the theory of Quantum Gravity may be, it must incorporate random geometry in one form or another. This book introduces a framework for studying random geometries in any dimensions. Building on the resounding success of random matrices as theories of random two dimensional surfaces, random tensors are their natural generalization to theories of random geometry in arbitrary dimension. This book shows that many of the celebrated results in random matrices, most notably't Hooft's 1/N expansion, can be generalized to higher dimensions. It provides a complete and self-contained derivation of the key results on random tensors. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Răzvan+Gheorghe+Gurău%22">Răzvan Gheorghe Gurău</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Random+matrices%22">Random matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Tensor+fields%22">Tensor fields</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+field+theory%22">Quantum field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+quantization%22">Geometric quantization</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Mathematical+%26+Computational%22">SCIENCE / Physics / Mathematical & Computational</searchLink>
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RecordInfo	BibRecord: BibEntity: Classifications: – Code: 515.63 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Random matrices Type: general – SubjectFull: Tensor fields Type: general – SubjectFull: Quantum field theory Type: general – SubjectFull: Geometric quantization Type: general Titles: – TitleFull: Random Tensors Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Răzvan Gheorghe Gurău – PersonEntity: Name: NameFull: Răzvan Gheorghe Gurău IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2017 – D: 27 M: 06 Type: profile Y: 2017 Identifiers: – Type: isbn-print Value: 9780198787938 – Type: isbn-electronic Value: 9780191091988 Titles: – TitleFull: Random Tensors Type: main
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