The One-Loop Effective Action in phi^4 Theory Coupled Non-Linearly with Curvature Power and Dynamical Origin of Cosmological Constant

Abstract

The functional formulation and one-loop effective action for scalar self-interacting theory non-linearly coupled with some power of the curvature are studied. After the explicit one-loop renormalization at weak curvature, we investigated numerically the phase structure for such unusual phi^4 theory. It is demonstrated the possibility of curvature-induced phase transitions for positive values of the curvature power, while for negative values the radiative symmetry breaking does not take place. The dynamical mechanism for the explanation of the current smallness of the cosmological constant is presented for several models from the class of theories under consideration.

arXiv comment25 pages, 20 eps figures, use iopart.cls; minor corrections, references added, to appear in JCAP

References in corpus (11)

• Phantom Energy and Cosmic Doomsday
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• The final state and thermodynamics of dark energy universe
• Gravity assisted dark energy dominance and cosmic acceleration
• Quantum escape of sudden future singularity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• The dS/CFT Correspondence and the Big Smash
• The Universality of Einstein Equations
• Dynamical symmetry breaking in curved spacetime -review-
• A Dynamical Approach to the Cosmological Constant
• Two-loop effective potential in quantum field theory in curved space-time

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