Why QFT in condensed matter physics?

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Discussion Overview

The discussion centers around the application of Quantum Field Theory (QFT) in condensed matter physics, exploring the necessity and relevance of QFT concepts such as propagators, Feynman diagrams, and renormalization in describing various phenomena in this field.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses curiosity about the necessity of QFT calculus in condensed matter physics, questioning the role of concepts like propagators and Feynman diagrams.
  • Another participant suggests reading Mattuck's "A guide to Feynman diagrams in the many-body problem" to gain insight into the relevance of QFT in this context.
  • A participant explains that classical physics can represent particle interactions through modes, and that QFT formalism, or "second quantization," is equivalent to traditional quantum mechanics approaches.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus on the necessity of QFT in condensed matter physics, as participants explore different aspects and implications without resolving the underlying questions.

Contextual Notes

Some assumptions about the equivalence of classical and quantum descriptions are mentioned, but the discussion does not delve into specific mathematical details or limitations of the models presented.

IRobot
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I am currently following a course of condensed matter physics and quite enjoying it. But after doig some research I found that many book deal with QFT applied to condensed matter. I wonder what all the calculus of QFT is needed to describe those phenomenas. I kinda feel that relativistic description given by QFT is inevitable but things like propagators, Feynman Diagrams and renomalization... So if someone could explain me what this necessity or council one introduction to the subject. Thanks a lot.
 
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IRobot said:
I am currently following a course of condensed matter physics and quite enjoying it. But after doig some research I found that many book deal with QFT applied to condensed matter. I wonder what all the calculus of QFT is needed to describe those phenomenas. I kinda feel that relativistic description given by QFT is inevitable but things like propagators, Feynman Diagrams and renomalization... So if someone could explain me what this necessity or council one introduction to the subject. Thanks a lot.

Read Mattuck's "A guide to Feynman diagrams in the many-body problem", and you'll have an idea why.

Zz.
 
I will take a look at it ;)

thanks for fast responding
 
In classical physics, you can represent the shape of an infinite chain of particles connected by springs as the amplitudes as each particle, or equivalently as the sum of its modes, where each mode is a collective motion of particles.

In non-relativistic quantum mechanics, you can write the Schroedinger equation for all the particles, or you can write an equivalent equation for its modes. The QFT formalism ("second quantization") does the latter, and is completely equivalent to the former.

http://www.tcm.phy.cam.ac.uk/~bds10/tp3.html
http://www.physics.rutgers.edu/~coleman/620/mbody/pdf/bkx.pdf
 
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