What is quantum field theory trying to explain?

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Discussion Overview

The discussion centers on the concept of Quantum Field Theory (QFT) and its relation to ordinary quantum mechanics (QM). Participants explore the fundamental aspects of QFT, its necessity for understanding particle behavior, and its incorporation of relativity.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants explain that in ordinary quantum mechanics, particles are treated quantum mechanically, while in quantum field theory, fields are treated quantum mechanically.
  • It is proposed that QFT is more fundamental than ordinary QM, with the Standard Model of particle physics being a QFT.
  • One participant emphasizes that QFT incorporates special relativity, combining quantum mechanics with relativistic principles.
  • Another participant notes that QFT allows for the creation and annihilation of particles, which is not accounted for in the original framework of quantum mechanics.
  • A later reply challenges the accuracy of the claim regarding particle creation and annihilation, suggesting that Fock space can be used without second quantization to handle variable particle numbers.

Areas of Agreement / Disagreement

Participants express various viewpoints on the fundamental nature of QFT compared to QM, and there is disagreement regarding the necessity of second quantization for addressing particle creation and annihilation.

Contextual Notes

The discussion includes assumptions about the definitions of quantum mechanics and quantum field theory, as well as the implications of incorporating relativity. Some mathematical steps and concepts remain unresolved.

Radarithm
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The title says it all. I'm sorry if you get annoyed because of my "noobishness", but I'm still a physicist in training (taking undergrad Classical Mechs). I'm really interested in Quantum Theory and I keep hearing about Quantum Field Theory, but not a single website accurately explains what it is (again, I'm a noob). I'm not as smart as you guys, so please use layman terms if you can :-p
 
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In ordinary quantum mechanics (QM), you treat particles quantum mechanically.

In quantum field theory (QFT), you treat fields quantum mechanically. It turns out that in addition to the classically known fields (like the electromagnetic field) there are new "quantum fields" for all fundamental particles (like the electron). In this sense, QFT is more fundamental than ordinary QM. The most fundamental theory up to date -the Standard Model of particle physics- is a QFT.
 
Last edited:
kith said:
In ordinary quantum mechanics (QM), you treat the quantum mechanically.

In quantum field theory (QFT), you treat fields quantum mechanically. It turns out that in addition to the classically known fields (like the electromagnetic field) there are new "quantum fields" for all fundamental particles (like the electron). In this sense, QFT is more fundamental than ordinary QM. The most fundamental theory up to date -the Standard Model of particle physics- is a QFT.

Thanks for the explanation! It's the simplest and clearest one I've read.
 
You are welcome. ;-) Don't hesitate to ask further questions.

(also note that I forgot the word "particles" in the first line, I have edited it)
 
Also it considers relativity: quantum mechanics + special relativity = quantum field theory.
 
[STRIKE]I would like to add the important fact that QFT was necessary to allow for particles to be created and annihilated, which isn't in the framework of the original quantum mechanics.[/STRIKE]
What Jazzdude said below.
 
Last edited:
DrClaude said:
I would like to add the important fact that QFT was necessary to allow for particles to be created and annihilated, which isn't in the framework of the original quantum mechanics.

That's not really accurate. You can use the Fock space without the 2nd quantization of the fields to incorporate processes with variable particle numbers.

Cheers,

Jazz
 

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