Strong and electroweak interactions and their unification with non-commutative space-timeX.-G. He1, 2
1 Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
2 Department of Physics, National Taiwan University, Taipei 10764, Taiwan
(Received: 18 September 2002 / Revised version: 21 February 2003 / Published online: 5 May 2003)
Quantum field theories based on non-commutative space-time (NCQFT) have been extensively studied recently. However no NCQFT model which can uniquely describe the strong and electroweak interactions has been constructed. This prevents one to make a consistent and systematic study of non-commutative space-time. In this work we construct a NCQFT model based on the trinification gauge group . A unique feature of this model, that all matter fields (fermions and Higgs bosons) are assigned to (anti-) fundamental representations of the factor SU(3) groups, allows us to construct a NCQFT model for strong and electroweak interactions and their unification without ambiguities. This model provides an example which allows one to make a consistent and systematic study of non-commutative space-time phenomenology. We also comment on some related issues regarding extensions to E6 and models.
© Società Italiana di Fisica, Springer-Verlag 2003