Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-01-14
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, Latex, 14 figures. Reference added, minor changes in Discussion are made
Scientific paper
We have found that supersymmetry (SUSY) in curved space is broken softly. It is also found that Pauli-Villars regularization preserves the remaining symmetry, softly broken SUSY. Using it we computed the one-loop effective potential along a (classical) flat direction in a Wess-Zumino model in de Sitter space. The analysis is relevant to the Affleck-Dine mechanism for baryogenesis. The effective potential is unbounded from below: $V_{eff}(\phi)\to -3g^2H^2\phi ^2 ln \phi ^2 /16\pi ^2$, where $\phi$ is the scalar field along the flat direction, g is a typical coupling constant, and H is the Hubble parameter. This is identical with the effective potential which is obtained by using proper-time cutoff regularization. Since proper-time cutoff regularization is exact even at the large curvature region, the effective potential possesses softly broken SUSY and reliability in the large curvature region.
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