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Covariance and Gauge Invariance in Continuum Physics, Lalaonirina R. Rakotomanana


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Автор: Lalaonirina R. Rakotomanana
Название:  Covariance and Gauge Invariance in Continuum Physics
ISBN: 9783030062989
Издательство: Springer
Классификация:



ISBN-10: 3030062988
Обложка/Формат: Soft cover
Страницы: 325
Вес: 0.52 кг.
Дата издания: 2018
Серия: Progress in Mathematical Physics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 16 illustrations, color; 26 illustrations, black and white; xi, 325 p. 42 illus., 16 illus. in color.
Размер: 234 x 156 x 18
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Подзаголовок: Application to Mechanics, Gravitation, and Electromagnetism
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation.It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincar? gauge theory according to the Utiyama method.Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.
Дополнительное описание: General introduction.- Basic concepts on manifolds, spacetimes, and calculus of variations.- Covariance of Lagrangian density function.- Gauge invariance for gravitation and gradient continuum.- Topics in continuum mechanics and gravitation.- Topics in gr



Symmetry and Economic Invariance: An Introduction

Автор: Ryuzo Sato; Rama V. Ramachandran
Название: Symmetry and Economic Invariance: An Introduction
ISBN: 0792380436 ISBN-13(EAN): 9780792380436
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Explores how symmetry and invariance of economic models can provide insights into their properties. This book aims to show that group theoretic methods form a natural extension of the techniques commonly used in economics and that they can be easily mastered.

Covariance and Gauge Invariance in Continuum Physics

Автор: R. Rakotomanana
Название: Covariance and Gauge Invariance in Continuum Physics
ISBN: 3319917811 ISBN-13(EAN): 9783319917818
Издательство: Springer
Рейтинг:
Цена: 11179.00 р.
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Описание: This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation.It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincar? gauge theory according to the Utiyama method.Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.

Parton Densities in Quantum Chromodynamics: Gauge invariance, path-dependence and Wilson lines

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: 22305.00 р.
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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

Gauge Invariance and Weyl-polymer Quantization

Автор: Franco Strocchi
Название: Gauge Invariance and Weyl-polymer Quantization
ISBN: 3319176943 ISBN-13(EAN): 9783319176949
Издательство: Springer
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Цена: 4890.00 р.
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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.

Gauge Invariance Approach to Acoustic Fields

Автор: Woon Siong Gan
Название: Gauge Invariance Approach to Acoustic Fields
ISBN: 9811387508 ISBN-13(EAN): 9789811387500
Издательство: Springer
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Цена: 19564.00 р.
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Описание:

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials.
The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.
Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

Автор: Alan McKane; Michel Droz; Jean Vannimenus; Dietric
Название: Scale Invariance, Interfaces, and Non-Equilibrium Dynamics
ISBN: 1489914234 ISBN-13(EAN): 9781489914231
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Proceedings of a NATO ASI held in Cambridge, England, June 20-30, 1994

Scale Invariance

Автор: Annick LESNE; Michel Lagu?s
Название: Scale Invariance
ISBN: 3642448968 ISBN-13(EAN): 9783642448966
Издательство: Springer
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Цена: 9141.00 р.
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Описание: This book presents a complete tour of formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology. The text offers a thorough conceptual background and a simple account of a wide range of applications.

Renormalization and Invariance in Quantum Field Theory

Автор: Eduardo Caianiello
Название: Renormalization and Invariance in Quantum Field Theory
ISBN: 1461589118 ISBN-13(EAN): 9781461589112
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The subject matter of this Advanced Study Institute, which has been rendered possible by the generous support of NATO, gratefully acknow- ledged here, is of central importance to quantum field theory today.

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields

Автор: Rudolph Gerd, Schmidt Matthias
Название: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields
ISBN: 9402414495 ISBN-13(EAN): 9789402414493
Издательство: Springer
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Цена: 34937.00 р.
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Описание: Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.

Higher Spin Gauge Theories

Автор: Brink Lars Et Al
Название: Higher Spin Gauge Theories
ISBN: 9813144092 ISBN-13(EAN): 9789813144095
Издательство: World Scientific Publishing
Цена: 19483.00 р.
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Описание: Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.


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