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• W2077623945 abstract "This work is an effort in order to compose a pedestrian review of the recently elaborated Doplicher, Fredenhagen, Roberts and Amorim (DFRA) noncommutative (NC) space which is a minimal extension of the DFR space. In this DRFA space, the object of noncommutativity ($theta^{munu}$) is a variable of the NC system and has a canonical conjugate momentum. The DFRA formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity $theta^{munu}$. A consistent algebra involving the enlarged set of canonical operators is described, which permits one to construct theories that are dynamically invariant under the action of the rotation group. A consistent classical mechanics formulation is analyzed in such a way that, under quantization, it furnishes a NC quantum theory with interesting results. The Dirac formalism for constrained Hamiltonian systems is considered and the object of noncommutativity $theta^{ij}$ plays a fundamental role as an independent quantity. It is also explained about the generalized Dirac equation issue, that the fermionic field depends not only on the ordinary coordinates but on $theta^{munu}$ as well. The dynamical symmetry content of such fermionic theory is discussed, and we show that its action is invariant under ${cal P}'$. In the last part of this work we analyze the complex scalar fields using this new framework. As said above, in a first quantized formalism, $theta^{munu}$ and its canonical momentum $pi_{munu}$ are seen as operators living in some Hilbert space. In a second quantized formalism perspective, we show an explicit form for the extended Poincar'e generators and the same algebra is generated via generalized Heisenberg relations. We also consider a source term and construct the general solution for the complex scalar fields using the Green function technique." @default.
• W2077623945 created "2016-06-24" @default.
• W2077623945 creator A5002739765 @default.
• W2077623945 creator A5039597812 @default.
• W2077623945 creator A5081957918 @default.
• W2077623945 creator A5083818125 @default.
• W2077623945 date "2010-10-10" @default.
• W2077623945 modified "2023-10-15" @default.
• W2077623945 title "The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space" @default.
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• W2077623945 cites W1586369843 @default.
• W2077623945 cites W1964846723 @default.
• W2077623945 cites W1966172013 @default.
• W2077623945 cites W1972082133 @default.
• W2077623945 cites W1973896046 @default.
• W2077623945 cites W1974477324 @default.
• W2077623945 cites W1974665356 @default.
• W2077623945 cites W1976486986 @default.
• W2077623945 cites W1976628192 @default.
• W2077623945 cites W1978471050 @default.
• W2077623945 cites W1981755532 @default.
• W2077623945 cites W1984250844 @default.
• W2077623945 cites W1985144884 @default.
• W2077623945 cites W1986343398 @default.
• W2077623945 cites W1991438579 @default.
• W2077623945 cites W1997085113 @default.
• W2077623945 cites W1999050914 @default.
• W2077623945 cites W2002677854 @default.
• W2077623945 cites W2006970324 @default.
• W2077623945 cites W2011706358 @default.
• W2077623945 cites W2012417976 @default.
• W2077623945 cites W2015976434 @default.
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• W2077623945 cites W2024367328 @default.
• W2077623945 cites W2029226593 @default.
• W2077623945 cites W2029306532 @default.
• W2077623945 cites W2035442020 @default.
• W2077623945 cites W2039316497 @default.
• W2077623945 cites W2041299688 @default.
• W2077623945 cites W2042628902 @default.
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• W2077623945 cites W2051347824 @default.
• W2077623945 cites W2052376161 @default.
• W2077623945 cites W2053988930 @default.
• W2077623945 cites W2060022489 @default.
• W2077623945 cites W2061301992 @default.
• W2077623945 cites W2062516151 @default.
• W2077623945 cites W2072104131 @default.
• W2077623945 cites W2073517041 @default.
• W2077623945 cites W2078847013 @default.
• W2077623945 cites W2080465764 @default.
• W2077623945 cites W2080994533 @default.
• W2077623945 cites W2085345375 @default.
• W2077623945 cites W2094391238 @default.
• W2077623945 cites W2095981147 @default.
• W2077623945 cites W2103640903 @default.
• W2077623945 cites W2105044234 @default.
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• W2077623945 cites W2133068538 @default.
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• W2077623945 cites W2161879643 @default.
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• W2077623945 cites W2259361577 @default.
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• W2077623945 doi "https://doi.org/10.3842/sigma.2010.083" @default.
• W2077623945 hasPublicationYear "2010" @default.
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