Vacuum fluctuations of the supersymmetric field in curved background

TL;DR

This paper investigates how vacuum fluctuations of a supersymmetric field in curved spacetime influence cosmological parameters, revealing a renormalization of fundamental constants and effects of supersymmetry breaking.

Contribution

It provides a covariant regularization calculation of vacuum effects in a supersymmetric model on curved backgrounds, including supersymmetry breaking impacts.

Findings

Vacuum fluctuations lead to renormalization of Newton and cosmological constants.

Soft supersymmetry breaking induces nonzero vacuum energy and pressure.

An effective equation of state is derived considering cosmic fluid and vacuum fluctuations.

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.