skip to content
New paths towards quantum gravity Preview this item
ClosePreview this item
Checking...

New paths towards quantum gravity

Author: Bernhelm Booss; Giampiero Esposito; Matthias Lesch
Publisher: Berlin ; London : Springer, ©2010.
Series: Lecture notes in physics, 807.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
New paths towards quantum gravity.
Berlin ; London : Springer, ©2010
(OCoLC)632088135
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bernhelm Booss; Giampiero Esposito; Matthias Lesch
ISBN: 9783642118975 3642118976
OCLC Number: 663093748
Description: 1 online resource (xix, 359 pages) : illustrations.
Contents: Note continued: 3. Lectures on Quantization of Gauge Systems / N. Reshetikhin --
3.1. Introduction --
3.2. Local Lagrangian Classical Field Theory --
3.2.1. Space-Time Categories --
3.2.2. Local Lagrangian Classical Field Theory --
3.2.3. Classical Mechanics --
3.2.4. First-Order Classical Mechanics --
3.2.5. Scalar Fields --
3.2.6. Pure Euclidean d-Dimensional Yang-Mills --
3.2.7. Yang-Mills Field Theory with Matter --
3.2.8. Three-Dimensional Chern-Simons Theory --
3.3. Hamiltonian Local Classical Field Theory --
3.3.1. Framework --
3.3.2. Hamiltonian Formulation of Local Lagrangian Field Theory --
3.4. Quantum Field Theory Framework --
3.4.1. General Framework of Quantum Field Theory --
3.4.2. Constructions of Quantum Field Theory --
3.5. Feynman Diagrams --
3.5.1. Formal Asymptotic of Oscillatory Integrals --
3.5.2. Integrals Over Grassmann Algebras --
3.5.3. Formal Asymptotics of Oscillatory Integrals Over Super-manifolds --
3.5.4. Charged Fermions --
3.6. Finite-Dimensional Faddeev-Popov Quantization and the BRST Differential --
3.6.1. Faddeev-Popov Trick --
3.6.2. Feynman Diagrams with Ghost Fermions --
3.6.3. Gauge Independence --
3.6.4. Feynman Diagrams for Linear Constraints --
3.6.5. BRST Differential --
3.7. Semiclassical Quantization of a Scalar Bose Field --
3.7.1. Formal Semiclassical Quantum Mechanics --
3.7.2. d> 1 and Ultraviolet Divergencies --
3.8. Yang-Mills Theory --
3.8.1. Gauge Fixing --
3.8.2. Faddeev-Popov Action and Feynman Diagrams --
3.8.3. Renormalization --
3.9. Chern-Simons Theory --
3.9.1. Gauge Fixing --
3.9.2. Faddeev-Popov Action in the Chern-Simons Theory --
3.9.3. Vacuum Feynman Diagrams and Invariants of 3-Manifolds --
3.9.4. Wilson Loops and Invariants of Knots --
3.9.5. Comparison with Combinatorial Invariants --
References --
pt. II Novel Mathematical Tools. Note continued: 4. Mathematical Tools for Calculation of the Effective Action in Quantum Gravity / I.G. Avramidi --
4.1. Introduction --
4.2. Effective Action in Quantum Field Theory and Quantum Gravity --
4.2.1. Non-gauge Field Theories --
4.2.2. Gauge Field Theories --
4.2.3. Quantum General Relativity --
4.3. Heat Kernel Method --
4.3.1. Laplace-Type Operators --
4.3.2. Spectral Functions --
4.3.3. Heat Kernel --
4.3.4. Asymptotic Expansion of the Heat Kernel --
4.3.5. Zeta-Function and Determinant --
4.4. Green Function --
4.5. Heat Kernel Coefficients --
4.5.1. Non-recursive Solution of the Recursion Relations --
4.5.2. Covariant Taylor Basis --
4.5.3. Matrix Algorithm --
4.5.4. Diagramatic Technique --
4.5.5. General Structure of Heat Kernel Coefficients --
4.6. High-Energy Approximation --
4.7. Low-Energy Approximation --
4.7.1. Algebraic Approach --
4.7.2. Covariantly Constant Background in Flat Space --
4.7.3. Homogeneous Bundles over Symmetric Spaces --
4.8. Low-Energy Effective Action in Quantum General Relativity --
References --
5. Lectures on Cohomology, T-Duality, and Generalized Geometry / R Bouwknegt --
5.1. Cohomology and Differential Characters --
5.1.1. Brief Review of de Rham and Cech Cohomology --
5.1.2. Electromagnetism --
5.1.3. Cech --
de Rham Complex --
5.1.4. Differential Cohomologies --
5.2. T-Duality --
5.2.1. Introduction to T-Duality --
5.2.2. Buscher Rules --
5.2.3. Gysin Sequences and Dimensional Reduction --
5.2.4. T-Duality = Takai Duality --
5.2.5. T-Duality as a Duality of Loop Group Bundles --
5.3. Generalized Geometry --
5.3.1. Cartan Relations --
5.3.2. Lie Algebroids --
5.3.3. Generalized Geometry --
5.3.4. Courant Algebroids --
5.3.5. Generalized Complex Geometry --
5.3.6. T-Duality in Generalized Geometry --
References. Note continued: 6. Stochastic Geometry and Quantum Gravity: Some Rigorous Results / H. Zessin --
6.1. Axiomatic Introduction into Regge's Model --
6.2. Zero-Infinity Law of Stochastic Geometry and the Cluster Process --
6.2.1. Basic Concepts --
6.2.2. Cluster Properties and the Zero-Infinity Law of Stochastic Geometry --
6.2.3. Cluster Properties and the Zero-Infinity Law for Marked Configurations --
6.2.4. Cluster Process --
6.2.5. Poisson Process P & rho; --
6.3. Poisson-Delaunay Surfaces with Intrinsic Random Metric --
6.3.1. Delaunay Cluster Property --
6.3.2. Poisson-Delaunay Surfaces --
6.3.3. Scholion: The Voronoi Cluster Property --
6.4. Ergodic Behaviour of PD-Surfaces --
6.4.1. Palm Measures and Palm Distributions --
6.4.2. Ergodic Theorem for Intrinsic Metric Quantities of Stationary Random Surfaces --
6.4.3. Curvature Properties of the Poisson-Delaunay Surface --
6.5. Two-Dimensional Regge Model of Pure Quantum Gravity --
6.6. Comments and Final Dreams --
References --
pt. III Afterthoughts --
7. Steps Towards Quantum Gravity and the Practice of Science: Will the Merger of Mathematics and Physics Work? / B. Booß-Bavnbek --
7.1. Regarding the Need and the Chances of Unification --
7.2. Place of Physics in John Dee's Groundplat of Sciences and Artes, Mathematicall of 1570 --
7.3. Delimitation Between Mathematics and Physics --
7.4. Variety of Modelling Purposes --
7.4.1. Production of Data, Model-Based Measurements --
7.4.2. Simulation --
7.4.3. Prediction --
7.4.4. Control --
7.4.5. Explain Phenomena --
7.4.6. Theory Development --
7.5. "The Trouble with Physics" --
7.6. Theory-Model-Experiment --
7.6.1. First Principles --
7.6.2. Towards a Taxonomy of Models --
7.6.3. Scientific Status of Quantum Gravity as Compared to Medicine and Economics --
7.7. General Trends of Mathematization and Modelling --
7.7.1. Deep Divide. Note continued: 7.7.2. Charles Sanders Peirce's Semiotic View --
References.
Series Title: Lecture notes in physics, 807.
Responsibility: Bernhelm Booss-Bavnbek, Giampiero Esposito, Matthias Lesch (eds.).

Abstract:

Aside from the statement that it should be capable of unifying general relativity and quantum field theory, little is known about the nature of quantum gravity. This book covers non-commutative  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"This volume contains the extended proceedings of the Summer School: New Paths Towards Quantum Gravity held in Holbaek, in Denmark. ... I really recommend this book for your personal Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/663093748> # New paths towards quantum gravity
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "663093748" ;
    library:placeOfPublication <http://dbpedia.org/resource/London> ; # London
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/5218754887#Place/berlin> ; # Berlin
    schema:about <http://experiment.worldcat.org/entity/work/data/5218754887#Topic/quantengravitation> ; # Quantengravitation
    schema:about <http://dewey.info/class/530.143/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/5218754887#Topic/physique> ; # Physique
    schema:about <http://id.worldcat.org/fast/1085110> ; # Quantum gravity
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/8116081> ; # Matthias Lesch
    schema:contributor <http://viaf.org/viaf/2566909> ; # Giampiero Esposito
    schema:contributor <http://viaf.org/viaf/108126581> ; # Bernhelm Booss
    schema:copyrightYear "2010" ;
    schema:datePublished "2010" ;
    schema:description "Because it is an exciting area of research, there are many new ideas about quantum gravity, but they often diverge to such an incredible degree that it seems impossible to decide which of the many possible directions the ongoing developments should be pursued."@en ;
    schema:description "The division of this text into two overlapping parts reflects the duality between the physical vision and the mathematical construction of quantum gravity research. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization, and on gauge field path integrals. The latter contains lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity."@en ;
    schema:description "This book will benefit everyone working in or entering the field of quantum gravity research. --Book Jacket."@en ;
    schema:description "Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/5218754887> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/1616-6361> ; # The lecture notes in physics,
    schema:isPartOf <http://worldcat.org/issn/0075-8450> ; # Lecture notes in physics ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/632088135> ;
    schema:name "New paths towards quantum gravity"@en ;
    schema:productID "663093748" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/663093748#PublicationEvent/berlin_london_springer_2010> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/5218754887#Agent/springer> ; # Springer
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-642-11896-8> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://dx.doi.org/10.1007/978-3-642-11897-5> ;
    schema:url <http://dx.doi.org/10.1007/978-3-642-11897-5> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-11897-5> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks2/springer/2011-02-17/1/9783642118975> ;
    schema:url <http://rd.springer.com/openurl?genre=book&isbn=978-3-642-11896-8> ;
    schema:url <http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks2/springer/2011-02-17/1/9783642118975> ;
    schema:url <https://link.springer.com/10.1007/978-3-642-11897-5> ;
    schema:url <http://site.ebrary.com/id/10404500> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-642-11896-8> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3065548> ;
    schema:workExample <http://worldcat.org/isbn/9783642118975> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB066005> ;
    umbel:isLike <http://d-nb.info/1002586798> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/663093748> ;
    .


Related Entities

<http://dbpedia.org/resource/London> # London
    a schema:Place ;
    schema:name "London" ;
    .

<http://experiment.worldcat.org/entity/work/data/5218754887#Topic/quantengravitation> # Quantengravitation
    a schema:Intangible ;
    schema:name "Quantengravitation"@en ;
    .

<http://id.worldcat.org/fast/1085110> # Quantum gravity
    a schema:Intangible ;
    schema:name "Quantum gravity"@en ;
    .

<http://viaf.org/viaf/108126581> # Bernhelm Booss
    a schema:Person ;
    schema:birthDate "1941" ;
    schema:familyName "Booss" ;
    schema:givenName "Bernhelm" ;
    schema:name "Bernhelm Booss" ;
    .

<http://viaf.org/viaf/2566909> # Giampiero Esposito
    a schema:Person ;
    schema:familyName "Esposito" ;
    schema:givenName "Giampiero" ;
    schema:name "Giampiero Esposito" ;
    .

<http://viaf.org/viaf/8116081> # Matthias Lesch
    a schema:Person ;
    schema:birthDate "1961" ;
    schema:familyName "Lesch" ;
    schema:givenName "Matthias" ;
    schema:name "Matthias Lesch" ;
    .

<http://worldcat.org/isbn/9783642118975>
    a schema:ProductModel ;
    schema:isbn "3642118976" ;
    schema:isbn "9783642118975" ;
    .

<http://worldcat.org/issn/0075-8450> # Lecture notes in physics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/663093748> ; # New paths towards quantum gravity
    schema:issn "0075-8450" ;
    schema:name "Lecture notes in physics ;" ;
    .

<http://worldcat.org/issn/1616-6361> # The lecture notes in physics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/663093748> ; # New paths towards quantum gravity
    schema:issn "1616-6361" ;
    schema:name "The lecture notes in physics," ;
    .

<http://www.worldcat.org/oclc/632088135>
    a schema:CreativeWork ;
    rdfs:label "New paths towards quantum gravity." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/663093748> ; # New paths towards quantum gravity
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.