marlon said:
Stating that a mathematical trick never leads to something new is just wrong. The virtual particles were introduced in QED in order to calculate the interactions between fermionic matterfields using perturbation theory and the corresponding Feynmann-diagrams. They are certainly not to be looked at as real physical particles. This is a misconception that occurs very often so it is necessary to stress this difference, especially to student who are just getting to know these concepts.
Besides nobody is questioning the accuracy of QED here, i think everybody studying this subject will be familiar with Feynmann's analogy of the distance between the top/bottom of our head to the moon.
Virtual particles are NOT REAL yet they do mediate interactions and physical phenomena that ARE REAL and observable. The Casimir-effect is explained using the virtual particles but it does not show that virtual particles are real...
A particle being not real does not mean it does not exist...
In the description of the interaction between elementary particles in quantum field theory, a virtual particle is a temporary elementary particle, used to describe an intermediate stage in the interaction. A virtual particle can never be the end-result of a process, that is what i mean that they are not real.
I also pointed out that virtual particles can only become real for a very short while.
If they were real then they would be they result of some interaction and they would not be an intermediate stage during the interaction...
regards
marlon
I'm not saying they are real. I just don't think they should be looked at simply as a mathematical artifact or "unphysical". By saying that you are implying that we made it up, and that there shouldn't be any problem if we simply eliminate them, since they weren't "real" in the first place. The fact that we do not "observe" them directly should not be used as a criteria for something to be "real" or not.
Let's discuss this another way to make sure we are not simply talking about preferences. Let's say I have a charge q at a distance d from an infinite conducting plane. The typical issue here would be to find the E field in the space between the charge and the conducting plane, and the charge distribution on the conducting plane itself. Now if we try to solve the Poisson's equation for this, it will be a pain. However, we know via the Uniqueness theorem that if I can find a similar situation that satisfies the same Dirichlet or Neumann boundary conditions, then I will have found a unique solution up to an additive constant. That is why we can replace the conducting plane with an image charge. This is a much simpler situation to solve. The image charge isn't real, it is unphysical, and purely a mathematical convenience/artifact. If the conducting plane is at z=0 and z>0 represents the space that the charge q is in, then z<0 is an unphysical region. We can solve for z<0 region, but this solution is purely a mathematical artifact. There's nothing meaningful about it.
Now, if for some odd reason, by replacing the conducting plane with an image charge, I find that not only did it satisfy all the Dirichlet and/or Neumann boundary conditions as the original problem, I also find that by doing so, it gave EXTRA values that was not in the orginal situation for z>0 region, then something is different here. There is now a distinct deviation between the two situations. If I make a measurement and verify that this deviation is actually present, then what I orginally thought to simply be a mathematical entity (the image charge), is no longer that. There is a component of some reality to this situation that is closer to what Nature is then the original situation of solving a charge q in front of a conducting plane. Replacing the plane with an image charge is CLOSER to reality than the original description. So in this case, while the image charge is STILL not something you "observe" directly, its description is more accurate!
Of course, this doesn't occur in E&M with image charge, but this is what is occurring when we replace the classical fields with virtual interactions. By including them in, we get a zoo of ADDITIONAL interactions that simply were not predicted by classical fields. Real particles can scatter off these virtual particles, producing corrections that are simply not there in the classical picture. These particles may be virtual, but they have a real set of properties that we can detect and measure via their interactions with others.
While calling them real, unphysical, mathematical, etc. may be a question of semantics, I don't think their existence is a matter of tastes or preferences.
Zz.