Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-04-25
Phys.Lett. B358 (1995) 81-86
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, latex, no figures
Scientific paper
10.1016/0370-2693(95)00993-U
We consider chiral $U(N)\times U(N)$ models with fermions in the limit of infinitely large local bare Yukawa coupling. When the scalar field is subject to non-linear constraint, phase transitions in these models are seen to be identical to those in the corresponding purely bosonic ones. Relaxing the non-linear constraint, we compute the seventh-order strong-coupling series for the susceptibility in these models and analyze them numerically for the $U(2)\times U(2)$ case. We find that in four dimensions the approach to the phase transition follows to a good accuracy the mean-field critical behavior, indicating the absence of non-trivial fixed points at strong coupling and being consistent with the first-order nature of the transition. In three dimensions, the strongly-coupled bosonic $U(2)\times U(2)$ model (without gauge fields) has a first-order transition strong enough to accommodate electroweak baryogenesis only for a narrow region of the bare parameter space.
Khlebnikov Yu. S.
Schnathorst R. G.
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