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- W2035442020 abstract "In this work we analyze complex scalar fields using a new framework where the object of noncommutativity $theta^{munu}$ represents independent degrees of freedom. In a first quantized formalism, $theta^{munu}$ and its canonical momentum $pi_{munu}$ are seen as operators living in some Hilbert space. This structure is compatible with the minimal canonical extension of the Doplicher-Fredenhagen-Roberts (DFR) algebra and is invariant under an extended Poincar'e group of symmetry. In a second quantized formalism perspective, we present an explicit form for the extended Poincar'e generators and the same algebra is generated via generalized Heisenberg relations. We also introduce a source term and construct the general solution for the complex scalar fields using the Green's function technique." @default.
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- W2035442020 date "2009-11-12" @default.
- W2035442020 modified "2023-10-18" @default.
- W2035442020 title "Quantum complex scalar fields and noncommutativity" @default.
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- W2035442020 doi "https://doi.org/10.1103/physrevd.80.105010" @default.
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