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Author : Víctor Aldaya
Publisher : Universidad de Salamanca
ISBN 13 : 9788478006397
Total Pages : 552 pages
Book Rating : 4.0/5 (63 download)
Download or read book Symmetries in gravity and field theory written by Víctor Aldaya and published by Universidad de Salamanca. This book was released on 2004-01-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michele Arzano
Publisher : Springer Nature
ISBN 13 : 3662630974
Total Pages : 198 pages
Book Rating : 4.6/5 (626 download)
Download or read book Deformations of Spacetime Symmetries written by Michele Arzano and published by Springer Nature. This book was released on 2021-06-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.
Author : M Blagojevic
Publisher : CRC Press
ISBN 13 : 1000687791
Total Pages : 457 pages
Book Rating : 4.0/5 (6 download)
Download or read book Gravitation and Gauge Symmetries written by M Blagojevic and published by CRC Press. This book was released on 2001-10-25 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex
Author : M Blagojevic
Publisher : CRC Press
ISBN 13 : 142003426X
Total Pages : 522 pages
Book Rating : 4.4/5 (2 download)
Download or read book Gravitation and Gauge Symmetries written by M Blagojevic and published by CRC Press. This book was released on 2001-10-25 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex
Author : Milutin Blagojević
Publisher : Taylor & Francis Group
ISBN 13 : 9780585485850
Total Pages : 522 pages
Book Rating : 4.4/5 (858 download)
Download or read book Gravitation and Gauge Symmetries written by Milutin Blagojević and published by Taylor & Francis Group. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be expressed as a (spacetime) gauge symmetry. Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance, which may lead to a consistent unified field theory. The first part of the book gives a systematic account of the structure of gravity as a theory based on spacetime gauge symmetries. Some basic properties of space, time, and gravity are reviewed in the first, introductory chapter. The next chapter deals with elements of global Poincare and conformal symmetries, which are necessary for the exposition of their localizations; the structure of the corresponding gauge theories of gravity is explored in chapters 3 and 4. Then, in chapters 5 and 6, we present the basic features of the constrained Hamiltonian of Poincare gauge theory, discuss the relation between gauge symmetries and conservation laws, and introduce the concept of gravitational energy and other conserved quantities. The second part of the book explores the most promising attempts to build a unified field theory containing gravity, on the basis of the gauge principle. The author presents the possibility to constrict the theory of gravity as a nonlinear field theory in flat spacetime. The final chapters yield an exposition of the ideas of supersymmetry and supergravity, Kaluza-Klein theory, and string theory. Gravitation and Gauge Symmetries will be of interest to postgraduate students and researchers in gravitation, high energy physics and mathematical physics.
Author : James B. Glattfelder
Publisher : Springer
ISBN 13 : 3030036332
Total Pages : 662 pages
Book Rating : 4.0/5 (3 download)
Download or read book Information—Consciousness—Reality written by James B. Glattfelder and published by Springer. This book was released on 2019-04-10 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
Author : Kurt Sundermeyer
Publisher : Springer
ISBN 13 : 3319065815
Total Pages : 806 pages
Book Rating : 4.3/5 (19 download)
Download or read book Symmetries in Fundamental Physics written by Kurt Sundermeyer and published by Springer. This book was released on 2014-07-23 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.
Author : Sean Carroll
Publisher : Penguin
ISBN 13 : 0593186583
Total Pages : 305 pages
Book Rating : 4.5/5 (931 download)
Download or read book The Biggest Ideas in the Universe written by Sean Carroll and published by Penguin. This book was released on 2022-09-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.
Author : Parthasarathi Mitra
Publisher : CRC Press
ISBN 13 : 1466581042
Total Pages : 115 pages
Book Rating : 4.4/5 (665 download)
Download or read book Symmetries and Symmetry Breaking in Field Theory written by Parthasarathi Mitra and published by CRC Press. This book was released on 2014-05-14 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many courses on modern quantum field theory focus on the formulation and application of field theory, leaving topics related to symmetry underdeveloped. This leads to students often having an incomplete understanding of symmetries. Filling this gap, Symmetries and Symmetry Breaking in Field Theory sheds light on various aspects of symmetry in field theory. The book presents a broad selection of important topics, including constraint theory, generalized Pauli–Villars regularization, the measure approach to anomalies, zeta function regularization, and anomalous gauge theories. The author explains how some classical symmetries are broken by anomalies and how other symmetries of the theory are spontaneously broken. He discusses all of the ideas in as simple a way as possible.
Author : J. Frölich
Publisher : Springer Science & Business Media
ISBN 13 : 1461534720
Total Pages : 528 pages
Book Rating : 4.4/5 (615 download)
Download or read book New Symmetry Principles in Quantum Field Theory written by J. Frölich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.
Author : Edouard B. Manoukian
Publisher : Springer
ISBN 13 : 3319338528
Total Pages : 364 pages
Book Rating : 4.3/5 (193 download)
Download or read book Quantum Field Theory II written by Edouard B. Manoukian and published by Springer. This book was released on 2016-09-26 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory.
Author : Jong-Ping Hsu
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814436182
Total Pages : 253 pages
Book Rating : 4.4/5 (361 download)
Download or read book Space-time Symmetry and Quantum Yang-Mills Gravity written by Jong-Ping Hsu and published by World Scientific Publishing Company Incorporated. This book was released on 2013 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: 13. Space-time gauge identities and finite-loop renormalization. 13.1. Space-time (T4) gauge identities. 13.2. Space-time gauge identities and a general graviton propagator. 13.3. Gauge identities in quantum electrodynamics with a non-linear gauge condition. 13.4. The infinite continuous group of general coordinate transformations inflat space-time. 13.5. Remarks on ultraviolet divergences and finite-loop renormalization for gravity -- 14. A unified gravity-electroweak model. 14.1. The gauge covariant derivative and gauge curvatures of a unified gravity-electroweak model. 14.2. The Lagrangian in the gravielecweak model. 14.3. The equations of motion for quantum and classical particles. 14.4. Violations of U1 and SU2 gauge symmetries by gravity -- 15. A unified gravity-strong force model. 15.1. Unified gauge covariant derivatives and gauge curvatures. 15.2. The action of the unified model and violations of local SU3 gauge symmetry by gravity. 15.3. Effective curved space-time for motions of quarks and gluons in the classical limit. 15.4. Discussion -- 16. Outlook. 16.1. Taiji space-time - a basic framework for all physics. 16.2. The cosmic Lee-Yang force and a linear potential for the accelerated expansion of the universe. 16.3. Possible origins of mass in a unified model: constant vacuum field or Higgs field? 16.4. Finite quantum gravity and a possible departure from exact Lorentz invariance at high energies. 16.5. Toward a total unification of all interactions. 16.6. Conclusion
Author : Dean Rickles
Publisher : Elsevier
ISBN 13 : 0444531165
Total Pages : 243 pages
Book Rating : 4.4/5 (445 download)
Download or read book Symmetry, Structure, and Spacetime written by Dean Rickles and published by Elsevier. This book was released on 2008 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism
Author : Philipp Fleig
Publisher : Cambridge Studies in Advanced
ISBN 13 : 1107189926
Total Pages : 587 pages
Book Rating : 4.1/5 (71 download)
Download or read book Eisenstein Series and Automorphic Representations written by Philipp Fleig and published by Cambridge Studies in Advanced. This book was released on 2018-07-05 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Author : C. D. Froggatt
Publisher : World Scientific
ISBN 13 : 9789971966317
Total Pages : 606 pages
Book Rating : 4.9/5 (663 download)
Download or read book Origin of Symmetries written by C. D. Froggatt and published by World Scientific. This book was released on 1991 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries ? even Lorentz invariance and gauge invariance ? without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.
Author : Dean Rickles
Publisher : Oxford University Press
ISBN 13 : 0199269696
Total Pages : 283 pages
Book Rating : 4.1/5 (992 download)
Download or read book The Structural Foundations of Quantum Gravity written by Dean Rickles and published by Oxford University Press. This book was released on 2006-11-16 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is spacetime? General relativity and quantum field theory answer this question in different ways. This collection of essays looks at the problem of uniting these two fundamental theories of our world, focusing on the nature of space and time within this quantum framework.
Author : Itzhak Bars
Publisher : Springer Science & Business Media
ISBN 13 : 1489953132
Total Pages : 306 pages
Book Rating : 4.4/5 (899 download)
Download or read book Symmetries in Particle Physics written by Itzhak Bars and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
