Vacuum zero point energy of self-interacting quantum fields in dS background

Abstract

We consider self-interacting scalar fields with a conformal coupling in the dS background and study the quantum corrections from bubble loop diagrams. Incorporating the perturbative in-in formalism, we calculate the quantum corrections in the vacuum zero point energy and pressure of self-interacting fields with the potential $V\propto {\Phi }^n$ for even values of $n$. We calculate the equation of state corresponding to these quantum corrections and examine the scaling of the divergent terms in the vacuum zero point energy and pressure associated to the dimensional regularization scheme. In particular, we show that for quartic self-interacting scalar field the conformal invariance is respected at two-loop order at the conformal point.

21 Pages, 4 figures

References in corpus (9)

• Dynamics of dark energy
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Infrared Propagator Corrections for Constant Deceleration
• Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter
• Point-splitting regularization of the stress tensor of a coupling scalar field in de Sitter space
• Loop corrections to a cosmological particle creation
• White Hole Cosmology and Hawking Radiation from Quantum Cosmological Perturbations
• Big Steve and the State of the Universe
• Vacuum Zero Point Energy and its Statistical Correlations in dS Background