What is the QFT picture of forces?

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Discussion Overview

The discussion revolves around the quantum field theory (QFT) perspective on forces, particularly focusing on how two masses attract each other, the nature of action (instantaneous or non-local), and the conservation of momentum and energy. The conversation touches on both gravitational and electromagnetic interactions, including the role of virtual photons in these processes.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants inquire about the mechanism of attraction between two masses in QFT, questioning whether the action is instantaneous and how momentum and energy are conserved.
  • One participant suggests that QFT should yield the classical picture in the low-energy limit and emphasizes that QFT involves computing fields and their quantizations.
  • There is a distinction made regarding gravity, with some participants noting that there is no generally accepted QFT for gravity, leaving it as an open question.
  • Another participant expresses interest in how the Coulomb force operates through photons, seeking clarification on the interaction between charges and the role of photons in momentum conservation.
  • A later reply discusses the Hamiltonian of quantum electrodynamics (QED), mentioning the interaction term involving virtual photons that exchange energy between the field and matter.
  • One participant notes that in the Coulomb gauge, there is an instantaneous Coulomb interaction term, but emphasizes that the interaction occurs between de Broglie waves rather than point-like charges.

Areas of Agreement / Disagreement

Participants express varying viewpoints on the nature of forces in QFT, particularly regarding gravity and electromagnetic interactions. There is no consensus on the specifics of how these forces operate or the implications of QFT for understanding them.

Contextual Notes

Participants highlight the complexity of the interactions and the limitations of current understanding, particularly in relation to gravity and the interpretation of forces in QFT. Some assumptions about the nature of interactions and the role of virtual particles remain unresolved.

Gerenuk
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According to QFT, how do two masses attract?
Is the action instantaneous? How is momentum/energy conserved? Is the action non-local?
 
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Gerenuk said:
According to QFT, how do two masses attract?
Is the action instantaneous? How is momentum/energy conserved? Is the action non-local?

See Zee, A.: Quantum Field Theory in a Nutshell. Princeton University Press, Princeton (2003), Chap I.4, From Field to Particle to Force, pp 24-27.
 
they interact as they always do. first, quantum field theory should in the limit of low energies always give the classical picture, and second, qft just means that you compute fields and quantizations of these fields are the known particles
 
Gerenuk said:
According to QFT, how do two masses attract?

Since you said "masses", are you asking specifically about gravity? There is no generally accepted QFT for gravity yet, as far as I know, so this is still an open question.
 
jtbell said:
Since you said "masses", are you asking specifically about gravity? There is no generally accepted QFT for gravity yet, as far as I know, so this is still an open question.
Yes, I did ask about gravity. But it would also be interesting to know how the Coulomb force acts through photons. At some point I will dive into QFT, but for know I was hoping to get a rough answer about what happens when two charges interaction. I mean where/when are there photons? How is momentum conserved?
 
Gerenuk said:
... now I was hoping to get a rough answer about what happens when two charges interaction. I mean where/when are there photons? How is momentum conserved?
Look at the Hamiltonian of QED. It has three terms, one for the electron, one for the EM field, and an interaction term that is like [itex]\mathbf{A} \cdot \mathbf{J}[/itex]. The virtual photons that exchange energy between the field and the matter live in the interaction term.

I don't know if this helps with the forces...
 
jtbell said:
Since you said "masses", are you asking specifically about gravity? There is no generally accepted QFT for gravity yet, as far as I know, so this is still an open question.

See Zee, A.: Quantum Field Theory in a Nutshell. Princeton University Press, Princeton (2003), Chap I.5, Coulomb & Newton: Repulsion and Attraction, pp 30-34. Quote from bottom of p 33, "We are now ready to understand one of the fundamental mysteries of the universe: Why masses attract."
 
Gerenuk said:
Yes, I did ask about gravity. But it would also be interesting to know how the Coulomb force acts through photons. At some point I will dive into QFT, but for know I was hoping to get a rough answer about what happens when two charges interaction. I mean where/when are there photons? How is momentum conserved?

In the Coulomb gauge where only physical (photon) variables are present, there is an instant Coulomb interaction term. But even in non-relativistic case the Coulomb interaction occurs bewteen de Broglie waves, not between point-like charges.
 

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