Last edited by Kagakinos
Sunday, August 2, 2020 | History

8 edition of Loops, knots, gauge theories, and quantum gravity found in the catalog.

Loops, knots, gauge theories, and quantum gravity

by Rodolfo Gambini

  • 375 Want to read
  • 22 Currently reading

Published by Cambridge University Press in Cambridge, New York .
Written in English

    Subjects:
  • Quantum gravity -- Mathematics.,
  • Loops (Group theory),
  • Knot theory.,
  • Gauge fields (Physics),
  • Quantum field theory.

  • Edition Notes

    Includes bibliographical references (p. 309-318) and index.

    StatementRodolfo Gambini, Jorge Pullin.
    SeriesCambridge monographs on mathematical physics
    ContributionsPullin, Jorge.
    Classifications
    LC ClassificationsQC178 .G36 1996
    The Physical Object
    Paginationxvi, 321 p. :
    Number of Pages321
    ID Numbers
    Open LibraryOL798929M
    ISBN 100521473322
    LC Control Number95035159

    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.   There are a couple of them. You could flip through and start reading the one that suits you or meets your requirements. I list them below: * Quantum Gravity by Carlo Rovelli * Covariant Loop Quantum Gravity by Carlo Rovelli & Francesca Vidotto.

    We coauthored a book "Loops, knots, gauge theories and quantum gravity" in and the first book for undergraduates on loop quantum gravity in (available in Spanish) and have published many papers together. We study the quantization of general relativity using canonical methods. Eduardo Fradkin, Field Theories in Condensed Matter Physics Shankar, Quantum Field Theory and Condensed Matter Both of these books discuss quantum eld theory in condensed matter physics. Much of the material is restricted to eld theories in d= 1+1 and d= 2+1 dimensions, and so useful for Sections 7 .

    AshtekarandLewandowski To appear in Knots and Quantum Gravity, ed. , Oxford Abstract Integral calculus on the space A/G of gauge equivalent connec-tions is developed. Loops, knots, links and graphs feature promi-nently in this description. The framework is well–suited for quanti-.   The inability of scientists to create a theory of quantum gravity arises from long-standing tensions between general relativity and quantum mechanics. There.


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Loops, knots, gauge theories, and quantum gravity by Rodolfo Gambini Download PDF EPUB FB2

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 by: Loops, Knots, Gauge Theories and Quantum Gravity.

The book begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang. 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 by: 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 and quantum gravity book 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: Get this from a library.

Loops, knots, gauge theories and gauge theories gravity. [Rodolfo Gambini; Jorge Pullin]. Find helpful customer reviews and review ratings for Loops, Knots, Gauge Theories and Quantum Gravity (Cambridge Monographs on Mathematical Physics) at Read honest and unbiased product reviews from our users.4/5.

Ashtekar–Barbero variables of canonical quantum gravity. The introduction of Ashtekar variables cast general relativity in the same language as gauge theories. It was in particular the inability to have good control over the space of solutions to the Gauss' law and spatial diffeomorphism constraints that led Rovelli and Smolin to consider a new representation – the loop representation.

Loops, Knots, Gauge Theories and Quantum Gravity (豆瓣) 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. 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. 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 ].

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.

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. Quantum gravity poses 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 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 5/5(4).

Get this from a library. 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.

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. [book] Free The Field Guide to Knots: How to Identify, Tie, and Untie Over 80 Essential Knots for. Loop Quantum Gravity Carlo Rovelli String 08 Genève, August 1 Definition of Diffeomorphisms invariant quantum field theory (for gauge fields plus fermions), in canonical and in covariant form.

s-knot states | s> = |’, j, i >, where s = i j 3 2 i 1 j 5 j j 6 4 j 3 j 2 j 1 i 4. 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. 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 .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 .Quantum gravity and the algebra of tangles, Classical and Quantum Gravity 10 (), An algebraic approach to discrete mechanics, with James Gilliam, Lett.

Math. Phys. 31 (), Generalized measures in gauge theory, Lett. Math. Phys. 31 (),