Strong and electroweak interactions and their unification with non-commutative space-time

  • X.-G. He
Theoretical Physics

Abstract.

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 \(SU(3)_C\times SU(3)_{{L}}\times SU(3)_{R}\). 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 \(U(3)_C\times U(3)_{L}\times U(3)_{R}\) models.

Keywords

Field Theory Quantum Field Theory Higgs Boson Systematic Study Unique Feature 

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2003

Authors and Affiliations

  • X.-G. He
    • 1
  1. 1.Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China CN

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