Quantum Field Theory in Condensed Matter Physics

Alexei M. Tsvelik

doi:10.1017/CBO9780511615832

This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

From reviews of the first edition:‘… bridges the gap in the current research literature on low-dimensional electron and spin model systems … I expect my copy to become one of the more ratty items on my shelf.’

Source: Physics Today

‘Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter …’

Source: Materials Research Bulletin

- 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 no-reply@cambridge.org 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

Page 1 of 2

First
« Prev
1
2
Next »
Last

Contents

Frontmatter
pp i-vi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp vii-x
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface to the first edition
pp xi-xiv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface to the second edition
pp xv-xvi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Acknowledgements for the first edition
pp xvii-xvii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Acknowledgements for the second edition
pp xviii-xviii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

I - Introduction to methods
pp 1-2
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - QFT: language and goals
pp 3-14
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - Connection between quantum and classical: path integrals
pp 15-24
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Definitions of correlation functions: Wick's theorem
pp 25-29
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Free bosonic field in an external field
pp 30-40
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Perturbation theory: Feynman diagrams
pp 41-47
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Calculation methods for diagram series: divergences and their elimination
pp 48-55
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Renormalization group procedures
pp 56-65
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - O(N)-symmetric vector model below the transition point
pp 66-73
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion
pp 74-81
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - O(3) nonlinear sigma model in the strong coupling limit
pp 82-86
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

II - Fermions
pp 87-88
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Path integral and Wick's theorem for fermions
pp 89-95
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - Interacting electrons: the Fermi liquid
pp 96-102
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - Electrodynamics in metals
pp 103-118
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - Relativistic fermions: aspects of quantum electrodynamics
pp 119-128
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - Aharonov–Bohm effect and transmutation of statistics
pp 129-140
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

III - Strongly fluctuating spin systems
pp 141-142
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Introduction
pp 143-147
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - Schwinger–Wigner quantization procedure: nonlinear sigma models
pp 148-156
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - O(3) nonlinear sigma model in (2 + 1) dimensions: the phase diagram
pp 157-164
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Order from disorder
pp 165-171
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

19 - Jordan–Wigner transformation for spin S = 1/2 models in D = 1, 2, 3
pp 172-178
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

20 - Majorana representation for spin S = 1/2 magnets: relationship to Z2 lattice gauge theories
pp 179-183
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Page 1 of 2

First
« Prev
1
2
Next »
Last

Metrics

Altmetric attention score

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.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Quantum Field Theory in Condensed Matter Physics

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information