Within the SP(2, R) symmetry, the Two-time model (2T model) has six dimension
with two time dimensions. The model has a dilaton particle that makes the
symmetry breaking differently from the Standard Model. By reducing the 2T
metric to the Minkowski one (1T metric), we consider the electroweak phase
transition picture in the 2T model with the dilaton as the trigger. Our
analysis shows that Electro-weak Phase Transition (EWPT) is a first-order phase
transition at the 200 GeV scale, its strength is about 1β3.08 and the
mass of dilaton is in interval [345,625] GeV. Furthermore, the metric of 2T
model can be reduced to the Randall-Sundrum model, so the dilaton acts as
inflaton with the slow-roll approximation. Therefore the 2T-model indirectly
suggests that extra-dimension can be also a source of EWPT and inflation. The
EWPT problem can be used to determine scale parameters that refer to
relationships between two metrics.Comment: 25 pages, 2 figure