A ug 2 00 4 Cosmological dynamics of scalar fields with O ( N ) symmetry
نویسندگان
چکیده
In this paper, we study the cosmological dynamics of scalar fields with O(N) symmetry in general potentials. We compare the phase space of the dynamical systems of the quintessence and phantom and give the conditions for the existence of various attractors as well as their cosmological implications. We also show that the existence of tracking attractor in O(N) phantom models require the potential with Γ < 1/2, which makes the model with exponential potential possess no tracking attractor.
منابع مشابه
A ug 2 00 4 Mathematical properties of cosmological models with accelerated expansion Alan
An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with positive cosmological constant or nonlinear scalar fields are reviewed. Some remarks are made on more exotic models such as the Chaplygin gas, tachyons and k-
متن کاملCosmological Higgs fields
We present a time-dependent solution to the coupled Einstein-Higgs equations for general Higgs-type potentials in the context of flat FRW cosmological models. Possible implications are discussed. ∗ e-mail: [email protected] Work supported by the program FP52 of the Foundation for Research of Matter (FOM) Scalar fields play a fundamental role in the standard model of particle physics, as well a...
متن کاملar X iv : h ep - p h / 02 10 29 2 v 3 2 9 N ov 2 00 4 Dynamics of the scalar field in 5 - dimensional Kaluza - Klein theory
Using the language of differential forms, the Kaluza-Klein theory in 4+1 dimensions is derived. This theory unifies electromagnetic and gravitational interactions in four dimensions when the extra space dimension is compactified. Without any ad-hoc assumptions about the five-dimensional metric, the theory also contains a scalar field coupled to the other fields. By a conformal transformation th...
متن کاملar X iv : h ep - p h / 02 11 00 6 v 4 2 8 M ay 2 00 3 DYNAMICAL SYMMETRY BREAKING AND EFFECTIVE
The formation of scalar condensates and dynamical symmetry breaking in the U (n) four-fermion models (for n = 2, 3) with two coupling constants has been studied by the functional integration method. The bosonization procedures of the models under consideration are performed in one loop approximation. The propagators of fermions, collective Bose-fields (bound states of fermions), as well as the ...
متن کاملspontaneously-broken chiral symmetry
We present and discuss the properties and the main results of a cosmological model with a spontaneously-broken chiral symmetry. The model contains and relates dynamically, two spin-zero fields. The scalar field can provide the dynamical basis for inflation in the early universe. The pseudoscalar, Goldstone field can provide an early, small residual vacuum energy density, the absolute value of w...
متن کامل