Variational Approach To Gravity Field Theories

Author : Alberto Vecchiato
Publisher : Springer
Page : 361 pages
File Size : 45,8 Mb
Release : 2017-05-30
Category : Science
ISBN : 9783319512112

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Variational Approach to Gravity Field Theories by Alberto Vecchiato Pdf

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.

Author : P I Pronin,G A Sardanashvily
Publisher : World Scientific
Page : 528 pages
File Size : 51,7 Mb
Release : 1996-04-12
Category : Science
ISBN : 9789814498913

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Gravity, Particles and Space-Time by P I Pronin,G A Sardanashvily Pdf

This volume comprises original and review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. The volume is dedicated to the memory of Professor Dmitri Ivanenko who made the great contribution to the physical science of the twentieth century. Contents:A Gauge-Invariant Theory of Motion of Charged Test Particles (D Chruscinski & J Kijowski)Heisenberg Picture for Quantized Fields Interacting with Nonstationary Electromagnetic or Gravitational Background (A A Lobashov & V M Mostepanenko)General Relativity as a Gauge Theory of Orthogonal Groups in Three Dimensions (M Raiteri et al.)Quantum Spacetime (D Finkelstein et al.)Jacobi's Principle and Hertz' Definition of Time (H-J Treder et al.)Placing Limits on Cartan's Torsion from Non-Riemannian Crystals (L C G de Andrade)Spinors as Differential Forms, and Applications to Electromagnetism and Quantum Mechanics (W A Rodrigues, Jr & J Vaz, Jr)Black Holes, Time Arrow, and Vacuum in Quantum Electrodynamics (M E Gertsenstein)One-Loop Background Calculations in the General Field Theory (P I Pronin & K V Stepanyantz)Energy–Momentum Superpotential in Gravitation Theory (G Giachetta & G Sardanashvily)and other papers Readership: Physicists, astronomists, high energy physicists, cosmologists and astrophysicists. keywords:Gravitation Theory;Riemannian Geometry;Gauge Theory;Spinor Field;Dirac Operator;Clifford Algebra;Torsion;Quantum Field;Black Hole;Conservation Law“… the book properly reflects the state of the art in a sector of current research on gravitation (and, less so, other fundamental interactions) and spacing geometry.”H Goenner Classical and Quantum Gravity

Author : Jean-Louis Basdevant
Publisher : Springer Science & Business Media
Page : 191 pages
File Size : 47,8 Mb
Release : 2007-03-12
Category : Science
ISBN : 9780387377483

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Variational Principles in Physics by Jean-Louis Basdevant Pdf

Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be a cornerstone of geometrical optics. This book explains variational principles and charts their use throughout modern physics. It examines the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. The book also offers simple but rich first impressions of Einstein’s General Relativity, Feynman’s Quantum Mechanics, and more that reveal amazing interconnections between various fields of physics.

Author : Shahar Ben-Menahem
Publisher : Unknown
Page : 456 pages
File Size : 51,6 Mb
Release : 1982
Category : Calculus of variations
ISBN : STANFORD:36105025690624

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Variational Methods for Field Theories by Shahar Ben-Menahem Pdf

Author : Mark S. Swanson
Publisher : Morgan & Claypool Publishers
Page : 188 pages
File Size : 54,8 Mb
Release : 2015-10-12
Category : Science
ISBN : 9781681741215

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Classical Field Theory and the Stress-Energy Tensor by Mark S. Swanson Pdf

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.

Author : Anatoliy Malyarenko
Publisher : CRC Press
Page : 288 pages
File Size : 53,7 Mb
Release : 2024-06-30
Category : Science
ISBN : 9781040021231

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Probabilistic Models of Cosmic Backgrounds by Anatoliy Malyarenko Pdf

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.

Author : E. Br‚zin,Spenta R. Wadia
Publisher : World Scientific
Page : 1154 pages
File Size : 54,5 Mb
Release : 1993
Category : Science
ISBN : 9810204566

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The Large N Expansion in Quantum Field Theory and Statistical Physics by E. Br‚zin,Spenta R. Wadia Pdf

This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.

Author : Anonim
Publisher : Unknown
Page : 592 pages
File Size : 42,8 Mb
Release : 1991
Category : Power resources
ISBN : MINN:30000010505976

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Energy Research Abstracts by Anonim Pdf

Author : Viatcheslav Mukhanov,Sergei Winitzki
Publisher : Cambridge University Press
Page : 298 pages
File Size : 43,5 Mb
Release : 2007-06-14
Category : Science
ISBN : 9781139788946

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Introduction to Quantum Effects in Gravity by Viatcheslav Mukhanov,Sergei Winitzki Pdf

This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. The book covers the basic (but essential) material of quantization of fields in an expanding universe and quantum fluctuations in inflationary spacetime. It also contains a detailed explanation of the Casimir, Unruh, and Hawking effects, and introduces the method of effective action used for calculating the back-reaction of quantum systems on a classical external gravitational field. The broad scope of the material covered will provide the reader with a thorough perspective of the subject. Every major result is derived from first principles and thoroughly explained. The book is self-contained and assumes only a basic knowledge of general relativity. Exercises with detailed solutions are provided throughout the book.

Author : Norman J. M. Horing
Publisher : Oxford University Press
Page : 453 pages
File Size : 46,7 Mb
Release : 2017
Category : Science
ISBN : 9780198791942

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Quantum Statistical Field Theory by Norman J. M. Horing Pdf

This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.

Author : Anonim
Publisher : Unknown
Page : 632 pages
File Size : 53,9 Mb
Release : 1975
Category : Nuclear energy
ISBN : RUTGERS:39030044059048

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Nuclear Science Abstracts by Anonim Pdf

NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.

Author : Keiji Kikkawa,Miguel Angel Virasoro,Spenta R Wadia
Publisher : World Scientific
Page : 372 pages
File Size : 49,7 Mb
Release : 1999-04-29
Category : Science
ISBN : 9789814495523

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Quest For Symmetry, A: Selected Works Of Bunji Sakita by Keiji Kikkawa,Miguel Angel Virasoro,Spenta R Wadia Pdf

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.

Author : John H Schwarz
Publisher : World Scientific
Page : 1168 pages
File Size : 49,5 Mb
Release : 1985-09-01
Category : Duality (Nuclear physics)
ISBN : 9789814590761

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Superstrings: The First 15 Years Of Superstring Theory (Reprints + Commentary - In 2 Volumes) by John H Schwarz Pdf

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.

Author : Yuri L Dokshitzer,Peter Levai,Julia Nyiri
Publisher : World Scientific
Page : 548 pages
File Size : 40,9 Mb
Release : 2016-09-16
Category : Science
ISBN : 9789813141711

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Gribov-85 Memorial Volume: Exploring Quantum Field Theory - Proceedings Of The Memorial Workshop Devoted To The 85th Birthday Of V N Gribov by Yuri L Dokshitzer,Peter Levai,Julia Nyiri Pdf

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.

Author : Majid Naeimi,Jakob Flury
Publisher : Springer
Page : 168 pages
File Size : 52,9 Mb
Release : 2017-02-10
Category : Science
ISBN : 9783319499413

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Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data by Majid Naeimi,Jakob Flury Pdf

This book provides a sound theoretical basis for the the different gravity field recovery methods and the numerics of satellite-to-satellite tracking data. It represents lectures given at the ‘Wilhelm and Else Heraeus Autumn School’ in Bad Honnef, Germany, October 4-9, 2015. The emphasis of the school was on providing a sound theoretical basis for the different gravity field recovery methods and the numerics of data analysis. The approaches covered here are the variational equations (classical approach), the acceleration approach and the energy balance approach, all of which are used for global gravity field recovery on the basis of satellite observations. The theory of parameter estimation in satellite gravimetry and concepts for orbit determination are also included. The book guides readers through a broad range of topics in satellite gravimetry, supplemented by the necessary theoretical background and numerical examples. While it provides a comprehensive overview for those readers who are already familiar with satellite gravity data processing, it also offers an essential reference guide for graduate and undergraduate students interested in this field.