Variational Approach To Gravity Field Theories

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Variational Approach To Gravity Field Theories

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Author : Alberto Vecchiato
language : en
Publisher: Springer
Release Date : 2017-05-30

Variational Approach To Gravity Field Theories written by Alberto Vecchiato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with Science categories.

This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.

Classical Field Theories

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Author : Bertrand Berche
language : en
Publisher: Springer Nature
Release Date : 2025-03-18

Classical Field Theories written by Bertrand Berche and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-18 with Science categories.

This exceptional textbook provides extensive discussions and worked exercises to accompany a field theory course at the advanced undergraduate or beginning graduate level. There are many questions that arise, both philosophical and practical, during a standard course in classical field theory that are addressed here in discussions between an advanced graduate student and her inquisitive undergrad friend. The discussion involves explicitly working out exercises and making pertinent remarks on the results and potential of the developed formalism. The book is ideal for readers who have taken or are taking the classical field theory course so that they already have a mathematical background in vector and tensor calculus and are willing to learn the basics of differential forms and exterior calculus to gain further insight into field theory formulation. The text can also be used to answer what you've always wanted to know but never dared to ask about field theory.

Probabilistic Models Of Cosmic Backgrounds

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Author : Anatoliy Malyarenko
language : en
Publisher: CRC Press
Release Date : 2024-06-30

Probabilistic Models Of Cosmic Backgrounds written by Anatoliy Malyarenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Science categories.

Combining research methods from various areas of mathematics and physics, Probabilistic Models of Cosmic Backgrounds describes the isotropic random sections of certain fiber bundles and their applications to creating rigorous mathematical models of both discovered and hypothetical cosmic backgrounds. Previously scattered and hard-to-find mathematical and physical theories have been assembled from numerous textbooks, monographs, and research papers, and explained from different or even unexpected points of view. This consists of both classical and newly discovered results necessary for understanding a sophisticated problem of modelling cosmic backgrounds. The book contains a comprehensive description of mathematical and physical aspects of cosmic backgrounds with a clear focus on examples and explicit calculations. Its reader will bridge the gap of misunderstanding between the specialists in various theoretical and applied areas who speak different scientific languages. The audience of the book consists of scholars, students, and professional researchers. A scholar will find basic material for starting their own research. A student will use the book as supplementary material for various courses and modules. A professional mathematician will find a description of several physical phenomena at the rigorous mathematical level. A professional physicist will discover mathematical foundations for well-known physical theories.

Classical Field Theory And The Stress Energy Tensor

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Author : Mark S. Swanson
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-10-12

Classical Field Theory And The Stress Energy Tensor written by Mark S. Swanson and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-12 with Science categories.

This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1976

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Nuclear energy categories.

Gribov 85 Memorial Volume Exploring Quantum Field Theory Proceedings Of The Memorial Workshop Devoted To The 85th Birthday Of V N Gribov

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Author : Yuri L Dokshitzer
language : en
Publisher: World Scientific
Release Date : 2016-09-16

Gribov 85 Memorial Volume Exploring Quantum Field Theory Proceedings Of The Memorial Workshop Devoted To The 85th Birthday Of V N Gribov written by Yuri L Dokshitzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-16 with Science categories.

Vladimir Naumovich Gribov is one of the creators of modern theoretical physics. The concepts and methods that Gribov has developed in the second half of the 20th century became cornerstones of the physics of high energy hadron interactions (relativistic theory of complex angular momenta, a notion of the vacuum pole — Pomeron, effective reggeon field theory), condensed matter physics (critical phenomena), neutrino oscillations, and nuclear physics.His unmatched insights into the nature of the quantum field theory helped to elucidate, in particular, the origin of classical solutions (instantons), quantum anomalies, specific problems in quantization of non-Abelian fields (Gribov anomalies, Gribov horizon), and the role of light quarks in the color confinement phenomenon.The fifth memorial workshop which marked Gribov's 85th birthday took place at the Landau Institute for Theoretical Physics, Russia, in June 2015. Participants of the workshop who came to Chernogolovka from different parts of the world presented new results of studies of many challenging theoretical physics problems across a broad variety of topics, and shared memories about their colleague, great teacher and friend.This book is a collection of the presented talks and contributed papers, which affirm the everlasting impact of Gribov's scientific heritage upon the physics of the 21st century.

Superstrings The First 15 Years Of Superstring Theory Reprints Commentary In 2 Volumes

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Author : John H Schwarz
language : en
Publisher: World Scientific
Release Date : 1985-09-01

Superstrings The First 15 Years Of Superstring Theory Reprints Commentary In 2 Volumes written by John H Schwarz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-09-01 with categories.

The discovery by Green and Schwarz in 1984 that ten-dimensional superstring theory is anomaly-free and finite only if the Yang-Mills gauge group is SO(32) or E8 x E8 has made the phenomenological possibilities of superstrings evident. Ths has resulted in a sudden surge of interest in superstrings unification. Since this fast-developing field is new to almost all theoretical physicist, this collection of basic pre-1985 references should be very valuable. This two volumes contain over 1000 pages of reprints plus some introductory comments by J Schwarz.

Quest For Symmetry A Selected Works Of Bunji Sakita

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Author : Keiji Kikkawa
language : en
Publisher: World Scientific
Release Date : 1999-04-29

Quest For Symmetry A Selected Works Of Bunji Sakita written by Keiji Kikkawa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-29 with Science categories.

This important book contains selected research papers of Prof Bunji Sakita. Included are his pioneering papers on SU(6) symmetry, strong coupling theory, string theory, supersymmetry and the method of collective coordinates. There is also a vivid personal account of his journey in physics. The book brings to light some of the key concepts of modern high energy physics.

Fractional Calculus An Introduction For Physicists Third Edition

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Author : Richard Herrmann
language : en
Publisher: World Scientific
Release Date : 2018-07-09

Fractional Calculus An Introduction For Physicists Third Edition written by Richard Herrmann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Science categories.

'The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems. There remain many open questions and the field remains an active area of research. Dr Herrmann’s book is an excellent introduction to this field of study.'Contemporary PhysicsThe book presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute in the development of this exciting research area.This book is devoted to the application of fractional calculus on physical problems. The fractional concept is applied to subjects in classical mechanics, image processing, folded potentials in cluster physics, infrared spectroscopy, group theory, quantum mechanics, nuclear physics, hadron spectroscopy up to quantum field theory and will surprise the reader with new intriguing insights.This new, extended edition includes additional chapters about numerical solution of the fractional Schrödinger equation, self-similarity and the geometric interpretation of non-isotropic fractional differential operators. Motivated by the positive response, new exercises with elaborated solutions are added, which significantly support a deeper understanding of the general aspects of the theory.Besides students as well as researchers in this field, this book will also be useful as a supporting medium for teachers teaching courses devoted to this subject.

Covariance And Gauge Invariance In Continuum Physics

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Author : Lalaonirina R. Rakotomanana
language : en
Publisher: Springer
Release Date : 2018-07-04

Covariance And Gauge Invariance In Continuum Physics written by Lalaonirina R. Rakotomanana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-04 with Science categories.

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 Poincaré 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.