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- W3098131511 abstract "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)." @default.
- W3098131511 created "2020-11-23" @default.
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- W3098131511 date "2002-02-01" @default.
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- W3098131511 title "Noncommutative field theory in formalism of first quantization" @default.
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- W3098131511 doi "https://doi.org/10.1016/s0370-2693(02)01166-8" @default.
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