Minimal $SU\left(3\right)\times SU\left(3\right)$ symmetry breaking patterns
Here, we study the vacua of an $$SU(3)\times SU(3)$$symmetric model with a bifundamental scalar. Structures of this type appear in various gauge theories such as the Renormalizable Coloron Model, which is an extension of QCD, or the Trinification extension of the electroweak group. In other contexts, such as chiral symmetry, $$SU(3)\times SU(3)$$ is a global symmetry. As opposed to more general $$SU(N)\times SU(N)$$ symmetric models, the $N=3$ case is special due to the presence of a trilinear scalar term in the potential. We find that the most general treelevel potential has only three types of minima: one that preserves the diagonal $SU(3)$ subgroup, one that is $$SU(2)\times SU(2)\times U(1)$$ symmetric, and a trivial one where the full symmetry remains unbroken. The phase diagram is complicated, with some regions where there is a unique minimum, and other regions where two minima coexist.
 Authors:

^{[1]};
^{[2]}
 Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Theoretical Physics Dept.
 Publication Date:
 Report Number(s):
 FERMILABPUB17401T; arXiv:1710.01456
Journal ID: ISSN 24700010; PRVDAQ; 1628658; TRN: US1802449
 Grant/Contract Number:
 AC0207CH11359; SC0017647
 Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extensions of gauge sector
 OSTI Identifier:
 1426512
 Alternate Identifier(s):
 OSTI ID: 1426671
Bai, Yang, and Dobrescu, Bogdan A. Minimal SU(3)×SU(3) symmetry breaking patterns. United States: N. p.,
Web. doi:10.1103/PhysRevD.97.055024.
Bai, Yang, & Dobrescu, Bogdan A. Minimal SU(3)×SU(3) symmetry breaking patterns. United States. doi:10.1103/PhysRevD.97.055024.
Bai, Yang, and Dobrescu, Bogdan A. 2018.
"Minimal SU(3)×SU(3) symmetry breaking patterns". United States.
doi:10.1103/PhysRevD.97.055024.
@article{osti_1426512,
title = {Minimal SU(3)×SU(3) symmetry breaking patterns},
author = {Bai, Yang and Dobrescu, Bogdan A.},
abstractNote = {Here, we study the vacua of an $SU(3)\times SU(3)$symmetric model with a bifundamental scalar. Structures of this type appear in various gauge theories such as the Renormalizable Coloron Model, which is an extension of QCD, or the Trinification extension of the electroweak group. In other contexts, such as chiral symmetry, $SU(3)\times SU(3)$ is a global symmetry. As opposed to more general $SU(N)\times SU(N)$ symmetric models, the $N=3$ case is special due to the presence of a trilinear scalar term in the potential. We find that the most general treelevel potential has only three types of minima: one that preserves the diagonal $SU(3)$ subgroup, one that is $SU(2)\times SU(2)\times U(1)$ symmetric, and a trivial one where the full symmetry remains unbroken. The phase diagram is complicated, with some regions where there is a unique minimum, and other regions where two minima coexist.},
doi = {10.1103/PhysRevD.97.055024},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}