Regular Article - Theoretical Physics
Vacuum stability conditions and potential minima for a matrix representation in lightcone orbit space
National Institute of Chemical Physics and Biophysics, Rävala 10, 10143, Tallinn, Estonia
Accepted: 11 October 2021
Published online: 23 October 2021
The orbit space for a scalar field in a complex square matrix representation obtains a Minkowski space structure from the Cauchy–Schwarz inequality. It can be used to find vacuum stability conditions and minima of the scalar potential. The method is suitable for fields such as a bidoublet, an SU(2) triplet or SU(3) octet. We use the formalism to find the vacuum stability conditions for the left-right symmetric potential of a bidoublet and left and right Higgs doublets.
© The Author(s) 2021
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