Strong First Order Phase Transition and $B$ Violation in the Compact 341 Model.

Baryogenesis in the context of the compact $SU\left( 3\right)_C\otimes SU\left( 4\right)_{L}\otimes U\left( 1\right)_X$ model is investigated. Using the finite temperature effective potential approach together with unitarity, stability and no ghost masses constraints, the existence of a strong first order electroweak phase transition (EWPT) was shown and checked numerically during all steps of the spontaneous breakdown of the gauge symmetry of the model. Higgs masses regions fulfilling the EWPT criteria are also discussed. Moreover, and as a byproduct of our study, the B-violation via sphaleron was also emphasized.