Abstract
We analyze some consequences of two possible interpretations of the action of the ladder operators emerging from generalized Heisenberg algebras in the framework of the second quantized formalism. Within the first interpretation we construct a quantum field theory that creates at any space-time point particles described by a q-deformed Heisenberg algebra and we compute the propagator and a specific first order scattering process. Concerning the second one, we draw attention to the possibility of constructing a theory in which each state of a generalized Heisenberg algebra is interpreted as a particle with different mass.
- Received 22 October 2001
DOI:https://doi.org/10.1103/PhysRevD.65.065020
©2002 American Physical Society