Coleman-Weinberg SO(10) GUT Theories as Inflationary Models

Abstract

The flat-space limit of the one-loop effective potential for SO(10) GUT theories in spatially flat Friedmann-Robertson-Walker cosmologies is applied to study the dynamics of the early universe. The numerical integration of the corresponding field equations shows that, for such grand unified theories, a sufficiently long inflationary stage is achieved for suitable choices of the initial conditions. However, a severe fine tuning of these initial conditions is necessary to obtain a large $e$-fold number. In the direction with residual symmetry $SU(4{)}_{PS}\otimes SU(2{)}_L\otimes SU(2{)}_R$, one eventually finds parametric resonance for suitable choices of the free parameters of the classical potential. This phenomenon leads in turn to the end of inflation.

20 pages, ReVTeX, 4 figures uuencoded tarred and compressed

References in corpus (19)

• Reheating after Inflation
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• Non-Thermal Phase Transitions after Inflation
• Self-consistent Improvement of the Finite Temperature Effective Potential
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• Quantum Cosmology and the Structure of Inflationary Universe
• Spontaneously Broken SU(5) Symmetries and One-Loop Effects in the Early Universe
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• Cosmological Restrictions on Conformally Invariant SU(5) GUT Models
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Cited by in corpus (4)

• Effective equations of motion and initial conditions for inflation in quantum cosmology
• Inflationary Reheating in Grand Unified Theories
• Unified Gauge Models and One-Loop Quantum Cosmology
• SO(10) GUT Models and Cosmology