Quantum field theory of condensed matter

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SUMMARY

The discussion centers on introductory resources for Quantum Field Theory (QFT) as applied to condensed matter physics. Key recommendations include "Quantum Field Theory in Condensed Matter Physics" by A. M. Tsvelik and "A Guide to Feynman Diagrams in the Many-body Problem" by R. D. Mattuck, with the latter noted for being a concise introduction. Other significant texts mentioned are "Principles of Condensed Matter Physics" by P. M. Chaikin & T. C. Lubensky and "Quantum Theory of Solids" by Kittel. The conversation highlights the complexity of the topic and the need for specific guidance in navigating the vast literature.

PREREQUISITES
  • Basic understanding of condensed matter physics
  • Familiarity with Quantum Field Theory concepts
  • Knowledge of Feynman diagrams
  • Awareness of many-body systems
NEXT STEPS
  • Research "Quantum Field Theory in Condensed Matter Physics" by A. M. Tsvelik
  • Explore "A Guide to Feynman Diagrams in the Many-body Problem" by R. D. Mattuck
  • Study the first four chapters of "Advanced Quantum Mechanics" by Schwabl
  • Review lecture notes by Ben Simons available online
USEFUL FOR

Students and researchers in condensed matter physics, physicists interested in Quantum Field Theory applications, and anyone seeking a foundational understanding of many-body systems.

malawi_glenn
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Hi

I was wondering if anyone has a good introductory article about QFT applied to condensed matter physics.

I know a bit about condensed matter physics, and a bit of QFT applied to particle physics.

thanx
 
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Hi,

"Quantum Field Theory in Condensed Matter Physics", A. M. Tsvelik @ CUP (1995, sec. ed. 2003).

"Principles of condensed matter physics", P. M. Chaikin & T. C. Lubensky @ CUP (1995)

"A Guide to Feynman Diagrams in the Many-body Problem" R. D. Mattuck @ Dover (1992)

Kittel's "Quantum Theory of Solids" is old, but I liked it.

Sorry, those are not articles. Until a condensed matter physicist provides you with such a review, you can look up for specific references of your insterest. I can dig them up from those books if you request more specifically what you are interested in, because the topic is quite vast.
 
yeah I have found many books on amazon and so on, but just wanted a quick introduction

thanx anyway:-)
 
malawi_glenn said:
yeah I have found many books on amazon and so on, but just wanted a quick introduction

thanx anyway:-)
Ah but as I said, the topic is incredibely wide. Conformal methods by themselves can be studied a life time long, and I do not believe they are simple enough to be in a short review. Zee's book deals quite well with quite a few ideas.

http://web.mit.edu/redingtn/www/netadv/biblio2.html
 
Last edited by a moderator:
The standard textbooks are:
1. Abrikosov, Gorkov & Dzyaloshinski
2. Fetter & Wallecka
3. Mahan

None of these is a quick introduction. Mattuck's book is definitely a quicker read than any of the above. Also, a partial introduction can be had from the first 4 chapters of Schwabl (Adv. QM).
 
Recommend one book
Quantum Field Theory of Many-Body Systems
by Xiao-gang Wen
 
I like Alex Altland's book, "Condensed Matter Field Theory"
 
malawi_glenn said:
yeah I have found many books on amazon and so on, but just wanted a quick introduction

thanx anyway:-)

Mattuck's text is about the shortest intro to field theory in condensed matter physics, I learned quite a bit from it when I read it. The other texts mentioned are way too long for an introduction to the area.
 

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