EPJ

2023 Impact factor 4.2
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 28, 557-560 (2003)
DOI: 10.1140/epjc/s2003-01185-5

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

X.-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)

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



© Società Italiana di Fisica, Springer-Verlag 2003

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