Noncommutative GUTs, Standard Model and C, P, T

被引:146
作者
Aschieri, P
Jurco, B
Schupp, P
Wess, J
机构
[1] Univ Munich, Sekt Phys, D-80333 Munich, Germany
[2] Int Jacobs Univ Bremen, Sch Sci & Engn, D-28759 Bremen, Germany
[3] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany
关键词
D O I
10.1016/S0550-3213(02)00937-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 2002 Elsevier Science B.V All rights reserved.
引用
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页码:45 / 70
页数:26
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