Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-21
Nucl.Phys.B651:45-70,2003
Physics
High Energy Physics
High Energy Physics - Theory
28 pages. Added references and comments in the introduction
Scientific paper
10.1016/S0550-3213(02)00937-9
Noncommutative Yang-Mills theories are sensitive to the choice of the representation that enters in the gauge kinetic term. We constrain this ambiguity by considering grand unified theories. We find that at first order in the noncommutativity parameter \theta, SU(5) is not truly a unified theory, while SO(10) has a unique noncommutative generalization. In view of these results we discuss the noncommutative SM theory that is compatible with SO(10) GUT and find that there are no modifications to the SM gauge kinetic term at lowest order in \theta. We study in detail the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of the resulting effective actions expanded in ordinary fields. We find that in models of GUTs (or compatible with GUTs) right-handed fermions and left-handed ones appear with opposite Seiberg-Witten map.
Aschieri Paolo
Jurco Branislav
Schupp Peter
Wess Julius
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