Noncommutative Standard Modelling

Details Noncommutative Standard Modelling Noncommutative Standard Modelling

2004-06-21

arxiv.org/abs/hep-th/0406178v3

JHEP 0409:019,2004

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 figure; v2: version published in JHEP; v3: a comment addded, typos corrected in formulae in Sec 3.1

Scientific paper

10.1088/1126-6708/2004/09/019

We present a noncommutative gauge theory that has the ordinary Standard Model as its low-energy limit. The model is based on the gauge group U(4) x U(3) x U(2) and is constructed to satisfy the key requirements imposed by noncommutativity: the UV/IR mixing effects, restrictions on representations and charges of matter fields, and the cancellation of noncommutative gauge anomalies. At energies well below the noncommutative mass scale our model flows to the commutative Standard Model plus additional free U(1) degrees of freedom which are decoupled due to the UV/IR mixing. Our model also predicts the values of the hypercharges of the Standard Model fields.

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