High School Why do material particles interact?

Click For Summary
Fermions interact by exchanging bosons, such as virtual photons in the case of electrons, which are excitations of their respective fields. This interaction is described mathematically through the Lagrangian of quantum field theory, which encodes the relationships between different fields and particles. The structure of the Lagrangian, particularly in the standard model, raises fundamental questions about why it takes its specific form and the significance of its numerical coefficients. Some theories suggest deeper principles, like string theory or spectral action, that could explain these interactions more fundamentally. Understanding these principles may provide insights into why fermions interact via boson exchange as observed in experiments.
Vectronix
Messages
65
Reaction score
2
Why do fermions exchange bosons with each other?
 
Physics news on Phys.org
What kind of answer are you looking for? This question is very broad.
 
  • Like
Likes bhobba
Do they exchange bosons?

If "an electron" is an excitation of an 'electron field', its electric charge proprerties suggest it excites and interacts with EM field, which is essentially, the photon field.
As such, the excitations of the photon field as result of two electrtons can be intetpreted as "virtual photons" exchanged between the two to determine the momentum differential...

At least, that's my opinion.
 
Vectronix said:
Why do fermions exchange bosons with each other?

In quantum field theory, the interactions that fundamental fields/particles have with each other are encoded by the monomials of the field variables that appear in the Lagrangian/action functional that defines the field theory.

For instance the electron-photon interaction
InteractionVertexOfQED.png

is reflected by the fact that the Lagrangian density of quantum electrodynamics (example 5.11 in the PF QFT notes) contains a monomial of the form

$$
\overline{\psi} \gamma^{\mu} \psi a_\mu
$$

where ##\psi## corresponds to the electron field and ##a## to the photon field.

So from this perspective your question is this grand question:

1) Why does the Lagrangian density of the standard model of particle physics have the broad form it has? Namely the form of Einstein-Yang-Mills-Dirac-Higgs theory?

That's an excellent question. A related question is:

2) Assuming the Lagrangian density of the standard model of particle physics is of Einstein-Yang-Mills-Dirac-Higgs theory-type, why does it have the precise numerical coeffcients that it has, for the couplings between the particles?

This second question has been much discussed, but remains wide open. The first question, the one that you are effectively asking, is receiving less attention, but regarding the first question there are some intersting hints.

Namely there are deeper principles which one may invoke, that imply that physics is modeled by Einstein-Yang-Mills-Dirac-Higgs theory, even if they do not imply the precise numerical values of masses and couplings.

One such principle is the assumption that virtual particles are secretly strings (see the last paragraphs of Does string theory make predictions? How?). Another such principle is that the action functional is the "spectral action" of a "spectral triple". These two principles are not unrelated.

Hence should these principles be correct principles of nature, they would reduce the question "Why do fermions interact via exchange of bosons the general way we see in experiment?" to something more fundamental. Whether these principles are principles of nature remains open. But part of the interest in these principles is driven by this implication, that they would provide an answer to the question that you are asking.
 

Attachments

  • InteractionVertexOfQED.png
    InteractionVertexOfQED.png
    1,009 bytes · Views: 501
Last edited:
  • Like
Likes ftr
PeterDonis said:
What kind of answer are you looking for? This question is very broad.

I was looking for the kind of answers given here. I will certainly try to take a deeper look into the explanations given here so I can understand physical interactions. Thank you for your replies!
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
828
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
19
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
647