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• W2029226593 abstract "The most popular noncommutative field theories are characterized by a matrix parameter ${ensuremath{theta}}^{ensuremath{mu}ensuremath{nu}}$ that violates Lorentz invariance. We consider the simplest algebra in which the $ensuremath{theta}$ parameter is promoted to an operator and Lorentz invariance is preserved. This algebra arises through the contraction of a larger one for which explicit representations are already known. We formulate a star product and construct the gauge-invariant Lagrangian for Lorentz-conserving noncommutative QED. Three-photon vertices are absent in the theory, while a four-photon coupling exists and leads to a distinctive phenomenology." @default.
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• W2029226593 date "2002-10-10" @default.
• W2029226593 modified "2023-09-25" @default.
• W2029226593 title "Noncommutative gauge theory without Lorentz violation" @default.
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• W2029226593 doi "https://doi.org/10.1103/physrevd.66.075001" @default.
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