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- W3102370777 abstract "Noncommutative field theories with commutator of the coordinates of the form [xμ,xν] = i Λωμνxω with nilpotent structure constants are studied and shown that a free quantum field theory is not affected. Invariance under translations is broken and the conservation of energy-momentum is violated, obeying a new law which is expressed by a Poincaré-invariant equation. The resulting new kinematics is studied and applied to simple examples and to astrophysical puzzles, such as the observed violation of the GZK cutoff. The λΦ4 quantum field theory is also considered in this context. In particular, self interaction terms violate the usual conservation of energy-momentum and, hence, the radiative correction to the propagator is altered. The correction to first order in λ is calculated. The usual UV divergent terms are still present, but a new type of term also emerges, which is IR divergent, violates momentum conservation and implies a correction to the dispersion relation." @default.
- W3102370777 created "2020-11-23" @default.
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- W3102370777 date "2003-12-10" @default.
- W3102370777 modified "2023-09-26" @default.
- W3102370777 title "Noncommutative field theory and violation of translation invariance" @default.
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- W3102370777 doi "https://doi.org/10.1088/1126-6708/2003/12/013" @default.
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