Relation between condensed matter physics and QFT

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SUMMARY

The discussion clarifies the relationship between condensed matter physics and Quantum Field Theory (QFT). It establishes that while condensed matter physics focuses on macroscopic properties of matter with a large number of atoms, QFT provides a framework for understanding systems with many degrees of freedom, including quasiparticles like phonons. The concept of temperature, while seemingly absent in QFT, becomes relevant when considering large particle numbers. Furthermore, the predictability of vacuum disturbances in QFT contrasts with the chaotic influences in macroscopic systems, allowing QFT methods to be applicable in condensed matter physics.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with condensed matter physics principles
  • Knowledge of quasiparticles and collective excitations
  • Basic grasp of thermodynamics, particularly the second law
NEXT STEPS
  • Explore the concept of quasiparticles in condensed matter physics
  • Study the role of temperature in Quantum Field Theory
  • Investigate the differences between high-energy physics (HEP) and condensed matter physics (CMP) methodologies
  • Learn about the implications of vacuum states in QFT and their disturbances
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Physicists, particularly those specializing in condensed matter physics and quantum field theory, as well as students and researchers interested in the interplay between macroscopic physical properties and quantum mechanics.

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I am confused about the relation between condensed matter physics and Quantum field theory (QFT). Here are my "naive" questions.
1. The condensed matter physics deals with the macroscopic physical properties of matter. The number of atoms of the system is as large as Avogadro's number. But in QFT, although there are infinite virtual particles, there are only a few (two, three, four) real particles. How could these two be connected with each other?
2. In a macroscopic physical system, the physical quantity temperature is very important, because now the second law of thermodynamics will dictate the irreversible evolution of the system. While in QFT, there is no such thing as temperature. Even we use it for convenience, the concept temperature is vain/imaginary in QFT.
3. A macroscopic system is always disturbed by its environment. This unknowable, unpreditable and chaotic disturbance may have a serious impact on the quantum state of the system. While in QFT, the disturbance from the vacuum is also serious, but predictable, and under control.
So why could QFT methods be used in condensed matter physics?
 
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The confusion stems the fact there are two different "philosophies" of QFT, one typically used by high-energy physicists (HEP) and the other typically used by condensed-matter physicists (CMP).

1. What HEP call "particle" in QFT, such as a photon, CMP call "quasiparticle" or collective excitation in QFT, such as a phonon. Just as a typical physical state contains only a couple of photons, similarly a typical physical state contains only a couple of phonons.

2. Temperature is relevant in QFT when the number of particles (e.g. photons) is large.

3. The vacuum (e.g. photon vacuum or phonon vacuum) is a very simple state, which is why its disturbance is predictable. The disturbance of more complicated environment states is more difficult to predict.

QFT is a method to deal with quantum systems with a large number of degrees of freedom. Even one photon or one phonon is a state that really originates from a large number of degrees of freedom that are more fundamental than the photon or phonon itself.
 

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