Can such situation take place in reality?
If yes the amount of such particles should be rather small - could we
detect that detectors produced more particles than usually just before
the scattering?
Accelerators are full of extremely precise detectors, but they are
specialized in detecting absorbed not produced particles. Such
production could start some chemical processes, but they could be too
slow and generally could be interpreted as some artifacts.
Observe that such effect would create very nontrivial causality
relation - we could use that physics should stabilize such causality
loops to create extremely powerful computers:
http://groups.google.com/group/sci.physics.foundations/browse_thread/thread/a236ada29c944ebb
-------- Moderator's note ---------------------------------
The above description of the Feynman-Stueckelberg trick is wrong.
Indeed it contradicts its whole purpose, namely to give an interpretation
for the quantum-field modes of negative frequency in relativistic QFTs. The
correct interpretation is to interpret these modes as anti-particles with
positive energies going in the opposite direction of momentum, leading to
a creation operator for the corresponding physical state in the fundamental
field operator.
The whole point of relativistic QFT is that there are no states with negative
energy (if the vacuum energy is normalized to 0 as usual). So particles with
the behavior described in the above posting do not exist within the standard
model of elementary particles which is based on local, microcausal QFTs with
a stable ground (vacuum) state.
--------------- Moderator's comment --------------------------
The comment to the original posting still holds: There's nothing going
backward in time in the Feynman-Stueckelberg trick of local
QFT. To the contrary, this interpretation of negative-frequency modes
avoids entities running "backwards" in time. By construction, QFT is
causal!
I don't entirely agree with this. Clearly what we observe are positive
energy anti-particles, but the Feynman-Stueckelberg interpretation is
that these are really negative energy particles going backwards in time.
Hence the creation and annihilations processes are reversed. Of course,
this is just interpretation, and makes absolutely no difference to the
experimental predictions. Certainly we don't expect to observe any
particular behaviour on account of this way of looking at qft.
Regards
--
Charles Francis
moderator sci.physics.foundations.
charles (dot) e (dot) h (dot) francis (at) googlemail.com (remove spaces and
braces)