A new two-faced scalar solution and cosmological SUSY breaking

TL;DR

This paper introduces a novel scalar field solution in an expanding universe that potentially explains the coexistence of supersymmetry breaking and a small cosmological constant by linking scalar mass scales to the Hubble parameter.

Contribution

It presents a new non-perturbative scalar field solution with dual-frequency behavior, connecting cosmological expansion to supersymmetry breaking and vacuum energy.

Findings

Scalar field solution exhibits dual-frequency behavior.

Mass scales are related to Hubble parameter as H^(1/4) and H^(1/2).

Proposes a mechanism for small cosmological constant and heavy scalar partners.

Abstract

We propose a possible new way to resolve the long standing problem of strong supersymmetry breaking coexisting with a small cosmological constant. We consider a scalar component of a minimally coupled N=1 supermultiplet in a general Friedmann-Robertson-Walker (FRW) expanding universe. We argue that a tiny term, proportional to H^2 ~ 10^(-122) in Plank's units, appearing in the field equations due to this expansion will provide both, the small vacuum energy and the heavy mass of the scalar supersymmetric partner. We present a non-perturbative solution for the scalar field with an unusual dual-frequency behavior. This solution has two characteristic mass scales related to the Hubble parameter as H^(1/4) and H^(1/2) measured in Plank's units.