Cover of: Loops, Knots, Gauge Theories and Quantum Gravity | Rodolfo Gambini

Loops, Knots, Gauge Theories and Quantum Gravity

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Cambridge University Press
Nuclear structure physics, Theoretical methods, Quantum Theory, Gravitation, Quantum Field Theory, Science, Science/Mathematics, Waves & Wave Mechanics, Mathematical Physics, Knot theory, Science / Mathematical Physics, Science-Quantum Theory, Science-Waves & Wave Mechanics, Gr
The Physical Object
FormatPaperback
ID Numbers
Open LibraryOL7750361M
ISBN 100521654750
ISBN 139780521654753

Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces.4/5(1).

Book Description. This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the four fundamental forces.

This text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory Cited by: Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity.

Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest Cited by: This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity.

The book begins with a detailed review of loop.

Description Loops, Knots, Gauge Theories and Quantum Gravity FB2

(PDF) Loops, Knots, Gauge Theories and Quantum Gravity | Rodolfo Gambini - Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising.

1. Holonomies and the group of loops; 2. Loop coordinates and the extended group of loops; 3. The loop representation; 4. Maxwell theory; 5. Yang-Mills theories; 6. Lattice techniques; 7. Quantum gravity; 8.

The loop representation of quantum theory; 9. Loop representation: further developments; Knot theory and physical states of quantum gravity; Cited by: The loop and spinfoam approach, presented in this 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 5/5(4). Strings, Loops, Knots and Gauge Fields John C.

Baez Department of Gauge Theories and Quantum Gravity book University of California Riverside CA Septem to Knots in Knots and Quantum Gravity, ed. Baez, Oxford U. Press Abstract The loop representation of quantum gravity has many formal resemblances to a background-free string theory.

Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest.

Loops, Knots, Gauge Theories and Quantum Gravity by Gambini & Pullin; You can also check out some latest reviews on the subject on e-Print archive. Attempts have been made to describe gauge theories in terms of extended objects such as Wilson loops and loop representation is a quantum hamiltonian representation of gauge theories in terms of loops.

The aim of the loop representation in the context of Yang–Mills theories is to avoid the redundancy introduced by Gauss gauge symmetries allowing to work directly in the space.

BOOK REVIEW: Loops, Knots, Gauge Theories and Quantum Gravity, by Rodolfo Gambini and Jorge Pullin Lewandowski, Jerzy; Abstract. Not Available. Publication: General Relativity and Gravitation. Pub Date: February DOI: /A Bibcode: GReGrL Author: Jerzy Lewandowski.

Loop quantum gravity is string theory’s biggest competitor. It gets less press than string theory, in part because it has a fundamentally more limited goal: a quantum theory of gravity. Loop quantum gravity performs this feat by trying to quantize space itself — in other words, treat space like it.

Summary: Providing a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity, this text reviews loop representation theory, Maxwell theory, Yang-Mills theories, lattice techniques, knot and braid theory, and describes applications in quantum gravity.

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Loops, knots, gauge theories, and quantum gravity. [Rodolfo Gambini; Jorge Pullin] -- "This text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity." "Loop representations (and the related topic of.

BOOK REVIEW: Loops, Knots, Gauge Theories and Quantum Gravity, by Rodolfo Gambini and Jorge Pullin. Jerzy Lewandowski General Relativity and Gravitation vol pages – ()Cite this article.

field theories and its relation to the new knot invariants. In addition to understanding the Chern-Simons state as a bridge between knot theory and quantum gravity, there is the much larger task of making the loop rep-resentation of quantum gravity into a mathematically rigorous theory and justifying.

While loop quantum gravity has produced lots of results, there are gaps to ll in. One of them is the low-energy limit: does loop quantum gravity have general relativity as the correct low-energy limit. At present loop quantum gravity, like all theories of quantum gravity, lacks experimental veri cation.

It may be possible to get predictions. 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. Rodolfo Gambini and Jorge Pullin Loops, Knots, Gauge Theories and Quantum Gravity (Cambridge University Press ISBN ) John Baez Gauge Fields, Knots and Gravity (World Scientific ISBN (paperback))[QCF5 B33 ].

formalisms, gauge theories of the Einstein-Cartan type, Metric-affine gravities and, perhaps the most popular, the string theory.

In addition to the above mentioned techniques, one can also refer to loop quantum gravity, spin foam quantum gravity, Euclidean quantum gravity and Horava-Lifshitz gravity as emergent gravity models. The book Knots and Quantum Gravity is the proceedings of a conference held at U.

Riverside on May th, It contains the following papers: The loop formulation of gauge theory and gravity, by Renate Loll. Representation theory of analytic holonomy C* algebras, by Abhay Ashtekar and Jerzy Lewandowski (also available as gr-qc/). Quantum mechanics of Riemannian geometry, a popular article by Abhay Ashtekar.

Pullin's Pirenopolis lectures; Loops, Knots, Gauge Theories and Quantum Gravity, a book. the Hilbert-space of Loop Quantum Gravity has led to criticism of Loop Quan-tum Gravity as a whole.

In this paper, we try to give an answer to the question, which group of dif-feomorphisms should be used in the quantum theory. Our argument is entirely physical: A Quantum Gauge theory should be built from completions of series of classical gauge. This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process.

The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. A theory of quantum gravity, loop quantum gravity (LQG) attempts to merge quantum mechanics and general relativity, incorporating matter of the Standard Model into the framework established for the pure quantum gravity case.

As a candidate for quantum gravity, LQG competes with string theory. According to Albert Einstein, gravity is not a force – it is a property of spacetime itself.

Someday I would like to write a modified version of this book which eliminates all the knot theory and loop quantum gravity, and says more about differential geometry, special relativity, Maxwell's equations, the Yang-Mills equations and general relativity.

That would be a more conservative book, written by an older and wiser man. Gauge Theory David Tong Wilson Lines and Wilson Loops 32 The Theta Term 37 Canonical Quantisation of Yang-Mills 39 The Wavefunction and the Chern-Simons Functional 41 Both of these books discuss quantum eld theory in condensed matter physics.

Much. Since Lee Smolin has been one of the leading figures both in the string theory and in the theory of loop quantum gravity, I hoped this book would clarify some questions I was left with after reading Carlo Rovelli's Reality Is Not What It Seems: The Journey to Quantum Gravity.I think the main reason both the books failed to do the job is the fact that I lack the adequate background to /5(83).

Research Pullin's book (with R. Gambini) Loops, Knots, Gauge Theories and Quantum Gravity surveys the state of the art in loop quantum gravity at the time of its publication. Reviewer Jerzy Lewandowski writes "the book should allow people from outside the loopy.

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[book] Free The Field Guide to Knots: How to Identify, Tie, and Untie Over 80 Essential Knots for.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. Muniain Gravitation And Gauge Fields Supergravity String Theory - Milutin Blagojevic Loops,Kknots, Gauge Theories and Quantum Gravity - R. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched.