Noncommutative field theory in formalism of first quantization

A. Ya Dymarsky

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1 Citation (Scopus)


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 languageEnglish
Pages (from-to)125-130
Number of pages6
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - 14 Feb 2002
Externally publishedYes


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