Geometric and Topological Methods for Quantum Field Theory

doi:10.1017/CBO9780511712135

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register

Edited by Hernan Ocampo, Universidad del Valle, Colombia, Eddy Pariguan, Pontificia Universidad Javeriana, Colombia, Sylvie Paycha, Université de Clermont-Ferrand II (Université Blaise Pascal), France

Publisher:: Cambridge University Press
Online publication date:: September 2010
Print publication year:: 2010
Online ISBN:: 9780511712135
DOI:: https://doi.org/10.1017/CBO9780511712135

Subjects:: Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics

88.99 (USD)

Digital access for individuals
(PDF download and/or read online)
Add to cart

Added to cart

Digital access for individuals
(PDF download and/or read online)
View cart
Export citation
Buy a print copy

Information

Contents

Metrics

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Geometric and Topological Methods for Quantum Field Theory

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

List of contributors
pp ix-x

Introduction
pp xi-xii

1 - The impact of QFT on low-dimensional topology
pp 1-53

2 - Differential equations aspects of quantum cohomology
pp 54-85

3 - Index theory and groupoids
pp 86-158

4 - Renormalization Hopf algebras and combinatorial groups
pp 159-219

5 - BRS invariance for massive boson fields
pp 220-252

6 - Large-N field theories and geometry
pp 253-287

7 - Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity
pp 288-329

8 - When is a differentiable manifold the boundary of an orbifold?
pp 330-343

9 - Canonical group quantization, rotation generators, and quantum indistinguishability
pp 344-367

10 - Conserved currents in Kähler manifolds
pp 368-380

11 - A symmetrized canonical determinant on odd-class pseudodifferential operators
pp 381-393

12 - Some remarks about cosymplectic metrics on maximal flag manifolds
pp 394-404

13 - Heisenberg modules over real multiplication noncommutative tori and related algebraic structures
pp 405-421

Metrics

Full text views

Book summary page views

Geometric and Topological Methods for Quantum Field Theory

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views