Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-29
Phys.Lett. B527 (2002) 125-130
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 6 pages
Scientific paper
10.1016/S0370-2693(02)01166-8
We present a first-quantized formulation of the quadratic non-commutative field theory in the background of abelian (gauge) field. Even in this simple case the Hamiltonian of a propagating particle depends non-trivially on the momentum (since external fields depend on location of the Landau orbit) so that one can not integrate out momentum to obtain a local theory in the second order formalism. The cases of scalar and spinning particles are considered. A representation for exact propagators is found and the result is applied to description of the Schwinger-type processes (pair-production in homogenous external field).
No associations
LandOfFree
Noncommutative field theory in formalism of first quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Noncommutative field theory in formalism of first quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative field theory in formalism of first quantization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-554491