Lorentz Conserving Noncommutative Standard Model

Abstract

We consider Lorentz conserving noncommutative field theory to construct the Lorentz conserving noncommutative standard model based on the gauge group $SU(3)\times SU(2)\times U(1)$. We obtain the enveloping algebra-valued of Higgs field up to the second order of the noncommutativity parameter ${þ}_{\mu \nu }$. We derive the action at the leading order and find new vertices which are absent in the ordinary Standard Model as well as the minimal noncommutative standard model. We briefly study the phenomenological aspects of the model.

18 pages, 1 figure, to appear in Phys. Rev. D

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• Bounds on the Parameter of Noncommutativity from Supernova SN1987A
• Noncommutative relativistic particles
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Singlet particles as cold dark matter in noncommutative space-time
• Fermions and noncommutative theories
• Quantum complex scalar fields and noncommutativity
• Tensor Coordinates in Noncommutative Mechanics
• Noncommutativity in (2+1)-dimensions and the Lorentz group
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
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• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• Lorentz violation parameters and noncommutative scale
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces