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| Paper IPM / Astronomy / 17443 |
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| Abstract: | |||||
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We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density, pressure and the trace of the energy momentum tensor. It is shown that the classical relation â?¨Tâ?©=â??4â?¨Ã�â?© for the vacuum stress energy tensor receives anomalous quantum correction which depends on the mass and the conformal coupling while the relation â?¨Ã�â?©=â??â?¨Pâ?© does hold. We calculate the density contrast associated to the vacuum zero point energy and show that ôÃ�â?¼â?¨Ã�â?© indicating an inhomogeneous and non-perturbative distribution of the zero point energy. Finally, we calculate the skewness associated to the distribution of the zero point energy and pressure and show that they are highly non-Gaussian
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