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Geometry of the Fundamental Interactions

Geometry of the Fundamental Interactions PDF Author: M. D. Maia
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182

Book Description
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.

Geometry of the Fundamental Interactions

Geometry of the Fundamental Interactions PDF Author: M. D. Maia
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182

Book Description
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.

Particles and Fundamental Interactions

Particles and Fundamental Interactions PDF Author: Sylvie Braibant
Publisher: Springer Science & Business Media
ISBN: 9400724632
Category : Science
Languages : en
Pages : 503

Book Description
The book provides theoretical and phenomenological insights on the structure of matter, presenting concepts and features of elementary particle physics and fundamental aspects of nuclear physics. Starting with the basics (nomenclature, classification, acceleration techniques, detection of elementary particles), the properties of fundamental interactions (electromagnetic, weak and strong) are introduced with a mathematical formalism suited to undergraduate students. Some experimental results (the discovery of neutral currents and of the W± and Z0 bosons; the quark structure observed using deep inelastic scattering experiments) show the necessity of an evolution of the formalism. This motivates a more detailed description of the weak and strong interactions, of the Standard Model of the microcosm with its experimental tests, and of the Higgs mechanism. The open problems in the Standard Model of the microcosm and macrocosm are presented at the end of the book. For example, the CP violation currently measured does not explain the matter-antimatter asymmetry of the observable universe; the neutrino oscillations and the estimated amount of cosmological dark matter seem to require new physics beyond the Standard Model. A list of other introductory texts, work reviews and some specialized publications is reported in the bibliography. Translation from the Italian Language Edition "Particelle e interazioni fondamentali" by Sylvie Braibant, Giorgio Giacomelli, and Maurizio Spurio Copyright © Springer-Verlag Italia, 2009 Springer-Verlag Italia is part of Springer Science+Business Media All Rights Reserved

Recent Developments in Gauge Theories

Recent Developments in Gauge Theories PDF Author: G. 't Hooft
Publisher: Springer Science & Business Media
ISBN: 1468475711
Category : Science
Languages : en
Pages : 437

Book Description
Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics.

Gauge Theories Of Fundamental Interactions - Proceedings Of The Xxxii Semester In The Stefan Banach International Mathematical Center

Gauge Theories Of Fundamental Interactions - Proceedings Of The Xxxii Semester In The Stefan Banach International Mathematical Center PDF Author: Marek Pawlowski
Publisher: World Scientific
ISBN: 9814611182
Category : Gauge fields (Physics)
Languages : en
Pages : 520

Book Description
The 23 review lectures in this volume were presented by prominent specialists in the field. The scope is wide: major trends in gauge field theory and its applications are covered. A considerable part of the articles contain previously unpublished results.

Conceptual Development of 20th Century Field Theories

Conceptual Development of 20th Century Field Theories PDF Author: Tian Yu Cao
Publisher: Cambridge University Press
ISBN: 1108476074
Category : Science
Languages : en
Pages : 461

Book Description
An overview of the conceptual and historical foundations of fundamental field theories, including their underlying issues, logic and dynamics.

The Development Of Perturbative Qcd

The Development Of Perturbative Qcd PDF Author: Guido Altarelli
Publisher: World Scientific
ISBN: 9814502227
Category : Science
Languages : en
Pages : 370

Book Description
This book consists of a collection of carefully selected review papers and lecture notes written by the author on Perturbative Quantum Chromodynamics (PQCD) and its experimental tests. A leading authority who has contributed significantly to the development of PQCD for more than 20 years, the author has selected articles on the basis of their present interest. These articles cover different aspects of the subject without unnecessary duplication and are accompanied by commentaries. Also, original material, specially written for this book, has been added to integrate and update the results and their presentation. Hence, more than providing a historical perspective on the subject, this volume also serves well as an authoritative guidebook on Perturbative QCD.

Exploring Fundamental Particles

Exploring Fundamental Particles PDF Author: Lincoln Wolfenstein
Publisher: CRC Press
ISBN: 1439836132
Category : Science
Languages : en
Pages : 282

Book Description
The search for the elementary constituents of the physical universe and the interactions between them has transformed over time and continues to evolve today, as we seek answers to questions about the existence of stars, galaxies, and humankind. Integrating both theoretical and experimental work, Exploring Fundamental Particles traces the developme

Eighth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation, And Relativistic Field Theories - Proceedings Of The Meeting (In 2 Parts)

Eighth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation, And Relativistic Field Theories - Proceedings Of The Meeting (In 2 Parts) PDF Author: Tsvi Piran
Publisher: World Scientific
ISBN: 9814543918
Category :
Languages : en
Pages : 1776

Book Description
Since 1975, the Marcel Grossmann Meetings have been organized to provide opportunities for discussing recent advances in gravitation, general relativity and relativistic field theories, emphasizing mathematical foundations, physical predictions and experimental tests. The objective of these meetings is to facilitate exchange among scientists that may deepen our understanding of space-time structures and to review the status of ongoing experiments aimed at testing Einstein's theory of gravitation from either the ground or space.The Eighth Marcel Grossmann Meeting took place on 22-27 June, 1997, at the Hebrew University of Jerusalem, Israel. The scientific program included 25 plenary talks and 40 parallel sessions during which 400 papers were presented. The papers that appear in this book cover all aspects of gravitation, from mathematical issues to recent observations and experiments.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1070

Book Description


From the Universe to the Elementary Particles

From the Universe to the Elementary Particles PDF Author: Ulrich Ellwanger
Publisher: Springer Science & Business Media
ISBN: 3642243746
Category : Science
Languages : en
Pages : 193

Book Description
In this book, the author leads the reader, step by step and without any advanced mathematics, to a clear understanding of the foundations of modern elementary particle physics and cosmology. He also addresses current and controversial questions on topics such as string theory. The book contains gentle introductions to the theories of special and general relativity, and also classical and quantum field theory. The essential aspects of these concepts are understood with the help of simple calculations; for example, the force of gravity as a consequence of the curvature of the space-time. Also treated are the Big Bang, dark matter and dark energy, as well as the presently known interactions of elementary particles: electrodynamics, the strong and the weak interactions including the Higgs boson. Finally, the book sketches as yet speculative theories: Grand Unification theories, supersymmetry, string theory and the idea of additional dimensions of space-time. Since no higher mathematical or physics expertise is required, the book is also suitable for college and university students at the beginning of their studies. Hobby astronomers and other science enthusiasts seeking a deeper insight than can be found in popular treatments will also appreciate this unique book.