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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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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