Covariant Loop Quantum Gravity

An Elementary Introduction to Quantum Gravity and Spinfoam Theory

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Author: Carlo Rovelli,Francesca Vidotto

Publisher: Cambridge University Press

ISBN: 1107069629

Category: Science

Page: 266

View: 5243

A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.

A First Course in Loop Quantum Gravity

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Author: Rodolfo Gambini,Jorge Pullin

Publisher: Oxford University Press

ISBN: 0199590753

Category: Science

Page: 183

View: 9135

Loop quantum gravity is one of the modern contenders for a unified description of quantum mechanics and gravity. Up to now no book has covered the material at the level of a college student or of other readers with some knowledge of college level physics. This book fills that gap.

Quantum Gravity

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Author: Carlo Rovelli

Publisher: Cambridge University Press

ISBN: 1139456156

Category: Science

Page: N.A

View: 9218

Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

Modern Canonical Quantum General Relativity

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Author: Thomas Thiemann

Publisher: Cambridge University Press

ISBN: 113946759X

Category: Science

Page: N.A

View: 9252

Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.

Mathematical Theory of Quantum Fields

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Author: Huzihiro Araki

Publisher: Oxford University Press on Demand

ISBN: 9780198517733

Category: Science

Page: 236

View: 9622

This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses bothclassical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.

An Introduction to Twistor Theory

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Author: S. A. Huggett,None,K. P. Tod

Publisher: Cambridge University Press

ISBN: 9780521456890

Category: Mathematics

Page: 178

View: 6701

This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.

Physics Meets Philosophy at the Planck Scale

Contemporary Theories in Quantum Gravity

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Author: Craig Callender,Nick Huggett

Publisher: Cambridge University Press

ISBN: 9780521664455

Category: Science

Page: 365

View: 2599

Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.

Loops, Knots, Gauge Theories and Quantum Gravity

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Author: Rodolfo Gambini,Jorge Pullin

Publisher: Cambridge University Press

ISBN: 9780521654753

Category: Science

Page: 321

View: 7478

A self-contained introduction to applications of loop representations and knot theory in quantum gravity.

Loop Quantum Gravity

A Theory of Quantum Space-time

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Author: Paul F. Kisak

Publisher: Createspace Independent Publishing Platform

ISBN: 9781539446460

Category:

Page: 288

View: 4250

Loop quantum gravity (LQG) had its origins with theories based on the quantum geometries of space-time. Theoretical physics has been working towards developing a theory of everything (TOE) for decades. The spirit of the effort appears to have a basis in fact as experimental evidence from The Large Hadron Collider and The Hubble Telescope continue to provide pieces of information that both confirm theories (Higgs Boson) and continue to raise new and confounding issues such as Dark Matter and Dark Energy. LQG is a remarkable attempt to incorporate the math of quantum mechanics and Einstein's theory of general relativity. A major focus is on developing the math of the geometric "granularity" or quantization of space. The fundamental concept behind LQG is that space is mathematically modeled as a very fine interconnected network of finite loops. These 'loops' form structures on the order of a Planck Length which is approximately 10 DEGREES DEGREES-35 meters. There are basically two variations being explored in LQG with one being canonical loop quantum gravity and a more recent variant known as covariant loop quantum gravity or 'spin-foam' theory. LQG is also being applied to the field of cosmology and is termed Loop Quantum Cosmology (LQC). This book is designed to be a reference and provide an overview of the topic and give the reader a structured knowledge to familiarize yourself with the topic at the most affordable price possible. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most current knowledge on the topic, based on the date of publication.

Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

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Author: Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts

Publisher: Springer Science & Business Media

ISBN: 9783540203575

Category: Mathematics

Page: 356

View: 5030

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Basic Concepts of String Theory

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Author: Ralph Blumenhagen,Dieter Lüst,Stefan Theisen

Publisher: Springer Science & Business Media

ISBN: 3642294979

Category: Science

Page: 784

View: 2800

The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion. Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures. End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.

Quantum Gravity in 2+1 Dimensions

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Author: Steven Carlip,Steven Jonathan Carlip

Publisher: Cambridge University Press

ISBN: 9780521545884

Category: Science

Page: 276

View: 764

The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Effective Field Theories

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Author: Alexey A. Petrov,Andrew E. Blechman

Publisher: World Scientific

ISBN: 9814434930

Category: Science

Page: 320

View: 5310

This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.

Loop Quantum Gravity

The First 30 Years

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Author: Abhay Ashtekar,Jorge Pullin

Publisher: World Scientific Publishing Company

ISBN: 9789813209923

Category: Science

Page: 309

View: 3091

"Over the last decade, several important advances have occurred, that include the continuum and classical limit of the non-perturbative theory on the conceptual side, and concrete ideas on confronting quantum gravity with observations in cosmology. This volume takes the reader from basics to recent advances, thereby bridging an important gap. It presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of young leading researchers. The goal is two-fold: to provide a contemporary introduction to the entire field for students and post-docs and, an overview of the current status for more senior researchers. These overviews present the latest developments that are not discussed in existing books, particularly the applications to the cosmology of the early universe and quantum aspects of black holes"--

Experimental Search for Quantum Gravity

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Author: Sabine Hossenfelder

Publisher: Springer

ISBN: 3319645374

Category: Science

Page: 120

View: 5393

This book summarizes recent developments in the research area of quantum gravity phenomenology. A series of short and nontechnical essays lays out the prospects of various experimental possibilities and their current status. Finding observational evidence for the quantization of space-time was long thought impossible. In the last decade however, new experimental design and technological advances have changed the research landscape and opened new perspectives on quantum gravity. Formerly dominated by purely theoretical constructions, quantum gravity now has a lively phenomenology to offer. From high precision measurements using macroscopic quantum oscillators to new analysis methods of the cosmic microwave background, no stone is being left unturned in the experimental search for quantum gravity. This book sheds new light on the connection of astroparticle physics with the quantum gravity problem. Gravitational waves and their detection are covered. It illustrates findings from the interconnection between general relativity, black holes and Planck stars. Finally, the return on investment in quantum-gravitation research is illuminated. The book is intended for graduate students and researchers entering the field.

Gauge/Gravity Duality

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Author: Martin Ammon,Johanna Erdmenger

Publisher: Cambridge University Press

ISBN: 1107010349

Category: Science

Page: 548

View: 4596

The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.

Quantum Triangulations

Moduli Spaces, Strings, and Quantum Computing

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Author: Mauro Carfora,Annalisa Marzuoli

Publisher: Springer Science & Business Media

ISBN: 3642244394

Category: Science

Page: 284

View: 7697

Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest. This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.

Quantum Space

Loop Quantum Gravity and the Search for the Structure of Space, Time, and the Universe

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Author: Jim Baggott

Publisher: Oxford University Press, USA

ISBN: 0198809115

Category: Science

Page: 448

View: 7935

Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes "the road less travelled": an approach which takes relativity as its starting point, and leads to a structure called Loop Quantum Gravity. Baggott tells the story through the careers and pioneering work of two of the theory's most prominent contributors, Lee Smolin and Carlo Rovelli. Combining clear discussions of both quantum theory and general relativity, this book offers one of the first efforts to explain the new quantum theory of space and time.

Gauge Fields, Knots and Gravity

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Author: John Baez,Javier P Muniain

Publisher: World Scientific Publishing Company

ISBN: 9813103248

Category: Science

Page: 480

View: 8278

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.