Applications of the Gauge/Gravity Duality, Jonas Probst

Автор: Schoenmaker Wim
Название: Computational Electrodynamics: A Gauge Approach with Applications in Microelectronics
ISBN: 8793519842 ISBN-13(EAN): 9788793519848
Издательство: Taylor&Francis
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Описание: Computational Electrodynamics is a vast research field with a wide variety of tools. In physics the principle of gauge invariance plays a pivotal role as a guide towards a sensible formulation of the laws of nature as well as computing the properties of elementary particles using the lattice formulation of gauge theories, yet the gauge principle has played a much less pronounced role in performing computation in classical electrodynamics. In this work the author will demonstrate that starting from the gauge formulation of electrodynamics using the electromagnetic potentials leads to computational tools that can very well compete with the conventional electromagnetic field-based tools. Once accepting the formulation based on gauge fields, the computational code is very transparent due to the mimetic mapping of the electrodynamic variables on the computational grid. Although the illustrations and applications originate from microelectronic engineering, the method has a much larger range of applicability. Therefore this book is of interest to everyone having interest in computational electrodynamics. The volume is organized as follows: In part 1, a detailed introduction and overview is presented of the Maxwell equations as well as the derivation of the current and charge densities is different materials. Semiconductors are responding to electromagnetic fields in a non-linear way and the induced complications are discussed in detail. In part 2, the transition of the theory of electrodynamics, using the gauge potentials, to a formulation that can serve as the gateway to computational code is presented. In part 3, the feasibility and success of the methods of part 2 are demonstrated by a collection of microelectronic device designs. Part 4 focuses on a set of topical themes that brings the reader to the frontier of research in building the simulation tools using the gauge principle in computational electrodynamics.Technical topics discussed in the book include:Electromagnetic Field EquationsConstitutive RelationsDiscretization and Numerical AnalysisFinite Element and Finite Volume MethodsDesign of Integrated Passive Components.

Автор: Probst
Название: Applications of the Gauge/Gravity Duality
ISBN: 3319939661 ISBN-13(EAN): 9783319939667
Издательство: Springer
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Описание: It then presents new results on hydrodynamic transport in strongly interacting quantum fluids, providing strong evidence that the Haack-Yarom identity between second-order transport coefficients holds for all fluids with a classical gravity dual and may be a universal feature of all strongly coupled quantum fluids such as the QGP.

Автор: Constantin P. Bachas; Adel Bilal; Michael R. Dougl
Название: Unity from Duality: Gravity, Gauge Theory and Strings
ISBN: 3642055478 ISBN-13(EAN): 9783642055478
Издательство: Springer
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Цена: 186330.00 T
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Описание: The contributions to this volume of the famous summer school in Les Houches cover the recent developments in supersymmetric string theory, the gauge theory/string theory correspondence and string duality. The book is a comprehensive introduction to the recent developments in string/M-theory and quantum gravity.

Автор: Pierre Deymier; Keith Runge
Название: Sound Topology, Duality, Coherence and Wave-Mixing
ISBN: 3319623796 ISBN-13(EAN): 9783319623795
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book offers an essential introduction to the notions of sound wave topology, duality, coherence and wave-mixing, which constitute the emerging new science of sound.

Автор: B.R. Iyer; N. Mukunda; C.V. Vishveshwara
Название: Gravitation, Gauge Theories and the Early Universe
ISBN: 9401076642 ISBN-13(EAN): 9789401076647
Издательство: Springer
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Цена: 348290.00 T
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Описание: This book evolved out of some one hundred lectures given by twenty experts at a special instructional conference sponsored by the University Grants Commis- sion, India.

Автор: Johannes M. Henn; Jan C. Plefka
Название: Scattering Amplitudes in Gauge Theories
ISBN: 364254021X ISBN-13(EAN): 9783642540219
Издательство: Springer
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Цена: 41920.00 T
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Описание: Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, this book offers a course of concise yet self-contained and course-tested lecture notes, accompanied by numerous exercises and solutions.

Автор: B. Bunk; K.H. Mutter; K. Schilling
Название: Lattice Gauge Theory
ISBN: 1461293081 ISBN-13(EAN): 9781461293088
Издательство: Springer
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Цена: 81050.00 T
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Описание: The meeting intended to bring together both active university research- ers in this field and scientists from industry and research centers who pursue large scale computing projects on problems within lattice gauge theory.

Автор: Igor Olegovich Cherednikov, Frederik F. Van der Ve
Название: Parton Densities in Quantum Chromodynamics: Gauge invariance, path-dependence and Wilson lines
ISBN: 3110439395 ISBN-13(EAN): 9783110439397
Издательство: Walter de Gruyter
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Цена: 148700.00 T
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Описание: The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents:IntroductionParticle Number Operators in Quantum Mechanics and in Quantum Field TheoryGeometry of Quantum Field TheoriesBasics of Wilson Lines in QCDGauge-Invariant Parton DensitiesSimplifying Wilson Line CalculationsBrief Literature GuideConventions and Reference FormulaeIntegrationsBibliographyIndex

Автор: Walter Dittrich; Martin Reuter
Название: Selected Topics in Gauge Theories
ISBN: 3540160647 ISBN-13(EAN): 9783540160649
Издательство: Springer
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Автор: Douglas G. Moore
Название: The Landscape of Free Fermionic Gauge Models
ISBN: 331924616X ISBN-13(EAN): 9783319246161
Издательство: Springer
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Цена: 95770.00 T
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Описание: In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models.

Автор: Franco Strocchi
Название: Gauge Invariance and Weyl-polymer Quantization
ISBN: 3319176943 ISBN-13(EAN): 9783319176949
Издательство: Springer
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Цена: 32600.00 T
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Описание:

Introduction.- Heisenberg quantization and Weyl quantization.- Delocalization, gauge invariance and non-regular representations.- Quantum mechanical gauge models.- Non-regular representations in quantum field theory.- Diffeomorphism invariance and Weyl polymer quantization.- A generalization of Stone-von Neumann theorem.- Bibliography.- Index.

Автор: Markus Q. Huber
Название: On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions
ISBN: 3642444261 ISBN-13(EAN): 9783642444265
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book develops a computer program for deriving complex Dyson-Schwinger equations. It offers an important theoretical contribution to our understanding of quark confinement. Winner of the prestigious Viktor Hess Prize of the Austrian Physical Society.