[Note to moderator: this did not appear several days after posting.]
[Moderator's note: I posted it within a few minutes of getting it.
Maybe the previous version was lost. -P.H.]
On 20/07/10 12:20 PM, is sad wrote:
Is there a name for the QFT with two real fields. \psi and \phi, and
interaction
g \psi^2 \phi^2,
where obviously g should be positive and both fields are Klein-Gordon
fields which may or may not have mass. The descriptive name in the title
could of course be used, but is this system known under a special name?
(I'm interested since it looks like the simplest example of two
interacting fields and perhaps the wave functional of its solutions
could be visualized..)
[Moderator's note: I have added the quoted text above to supply some context. -P.H.]
The subject is QFT
And you try to understand interaction between
It is more about finding clear examples. Perhaps to make others
understand, or to make ourselves understand things better, but it
is one step earlier: it is about finding the essence, restricting
as much as possible the number of things that actually have to be
understood!
the Schrödinger and the Dirac equations
No, those are possible examples but especially the Dirac filed is
too complicated (4 complex components, i.e. 8 real components, you
can't easily visualize that, and you don't need that).
(that is hidden in the Klein-Gordon fields equation) . . .
. . . if i understood correctly
My aim is not to see everything that is hidden in the set of fields
of the standard model, I want a simple toy model to see how interacting
fields can lead to matter (bound states) and subsequently to the
perception of something approaching classical reality.
[Obviously the system I mentioned is just one initial step, not yet
sufficient for what I want, since it describes two repelling fields..
Two charged fields with Maxwell interaction might be more promising,
but that gives already 2 complex components, even in 1+1 dimensions
where the EM field does not have free modes..]
--
Jos
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