On the Equations of State for the Quantum Vacuum Terms

Abstract

The conformal anomaly provides a useful tool for deriving vacuum effective action. Such contributions to the gravitational action lead to the exponential inflation, similar to the cosmological constant term. In the presence of a background electromagnetic field, there is no exponential solution, including the case when the the anomaly-induced correction in the electromagnetic sector is taken into account. In this contribution we explore the role of the anomaly-induced terms in the form of "equation of state" in both gravitational and radiation sectors. Furthermore, we derive the scaling laws for these terms for the dS, radiation and matter-dominated cases. Keywords: Conformal anomaly; effective action; equation of state. PACS numbers: 04.62.+v, 98.80.Cq, 95.36.+x 65 Int. J. Mod. Phys. Conf. Ser. 2011.03:65-74. Downloaded from www.worldscientific.com by 191.101.54.22 on 06/15/16. For personal use only.