From: jos.bergervoet@xs4all.nl   
      
   [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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