Abstract
We present a first-quantized formulation of the quadratic noncommutative 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 cannot 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).
| Original language | English |
|---|---|
| Pages (from-to) | 125-130 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 527 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Feb 14 2002 |
Bibliographical note
Funding Information:This work was partly supported by the Russian President's grant 00-15-99296, INTAS grant 01-334 and RFBR grant 01-02-17682-a.
Funding
This work was partly supported by the Russian President's grant 00-15-99296, INTAS grant 01-334 and RFBR grant 01-02-17682-a.
| Funders | Funder number |
|---|---|
| INTAS, Belgium | 01-334 |
| Russian Foundation for Basic Research | 01-02-17682-a |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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