Vacuum fluctuations of the supersymmetric field in curved background

Abstract

We study a supersymmetric model in curved background spacetime. We calculate the effective action and the vacuum expectation value of the energy momentum tensor using a covariant regularization procedure. A soft supersymmetry breaking induces a nonzero contribution to the vacuum energy density and pressure. Assuming the presence of a cosmic fluid in addition to the vacuum fluctuations of the supersymmetric field an effective equation of state is derived in a self-consistent approach at one loop order. The net effect of the vacuum fluctuations of the supersymmetric fields in the leading adiabatic order is a renormalization of the Newton and cosmological constants.

14 pages, references added, revised argument on vacuum energy subtraction in section 1, discussion expanded, results unchanged

References in corpus (9)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Effective Action of Vacuum: Semiclassical Approach
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
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• Zero-point quantum fluctuations in cosmology
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Cited by in corpus (9)

• Cosmological constant and vacuum energy: old and new ideas
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• Generalizing the running vacuum energy model and comparing with the entropic-force models
• Renormalizing the vacuum energy in cosmological spacetime: implications for the cosmological constant problem
• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Zero-point quantum fluctuations in cosmology
• Vacuum energy as dark matter
• Cosmological Constant Problem and Renormalized Vacuum Energy Density in Curved Background
• Vacuum stress-tensor in SSB theories