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    Cosmology and Astrophysics - Inflation     

One of my main research interests concerns a very early phase in the evolution of the Universe, the so-called inflationary phase. During this phase the Universe expanded exponentially, which can explain why the Universe looks so homogeneous in each direction even though it might seem that two different parts of the sky in the opposite direction had no chance to have known each other in the past. It also solves the flatness problem and the monopole problem of the standard big bang scenario. In the past my research was mainly focused on the problem of preheating. After the inflationary phase the Universe is very cold but in order to make nucleosynthesis work the Universe has to be at a high temperature. It reaches this temperature during the reheating phase. This phase seems to be not efficient enough in standard scenarios, therefore an additional preheating phase was introduced. In collaboration with Jurgen Baacke and Carsten Patzold I worked on the back reaction problem of quantum fluctuation in an FRW cosmology. We also investigated the preheating phase for different models such as fermionic and gauge field models. Later on together with Daniel Cormier and Anupam Mazumdar I have worked on preheating in coupled systems which is especially important for hybrid models of inflation. More recently I have become interested in predicitions for structure formation and CMB anisotropies from inflation. In collaboration with Salman Habib, Andreas Heinen, Gerard Jungman, and Carmen Molina-Paris we have found an excellent analytic approximation for the primordial power spectrum and the related spectral index. We have extended this approximation up to second order and we implemented a numerical code which calculates the primordial power spectrum exact, in the uniform approximation, and in the traditional slow-roll approximation (well, Andreas did most of the implementing part...). We also developed a new way of reconstructing the inflationary potential from a given power spectrum via inverse scattering theory. By combining our two approached and with the upcoming new observations of the cosmic microwave background we hope to be able to put constrains on the inflationary model space.

Publications
  1. Inflationary Perturbations and Precision Cosmology,
    S. Habib, A. Heinen, K. Heitmann, and G. Jungman, Phys. Rev. D71, 043518 (2005), astro-ph/0501130
  2. Inverse-Scattering Theory and the Density Perturbations from Inflation,
    S. Habib, K. Heitmann, and G. Jungman, Phys. Rev. Lett. 94, 061303 (2005), astro-ph/0409599
  3. Characterizing Inflationary Perturbations: The Uniform Approximation,
    S. Habib, A. Heinen, K. Heitmann, G. Jungman, and C. Molina-Paris, Phys. Rev. D70, 083507 (2004) astro-ph/0406134
  4. The Inflationary Perturbation Spectrum,
    S. Habib, K. Heitmann, G. Jungman, and C. Molina-Paris, Phys. Rev. Lett. 89, 281301 (2002) astro-ph/0208443
  5. Dynamics of Coupled Bosonic Systems with Application to Preheating,
    D. Cormier, K. Heitmann, and A. Mazumdar, Phys. Rev. D65, 083521 (2002), hep-ph/0105236
  6. Nonequilibrium Dynamics of Fermions in a Spatially Homogeneous Scalar Background Field,
    J. Baacke, K. Heitmann, and C. Patzold, Phys. Rev. D58, 125013 (1998), hep-ph/9806205
  7. Renormalization of Nonequilibrium Dynamics in FRW Cosmology,
    J. Baacke, K. Heitmann, and C. Patzold, Phys. Rev. D56, 6556, (1997), hep-ph/9706274
  8. Nonequilibrium Dynamics: Preheating in the SU(2) Higgs Model,
    J. Baacke, K. Heitmann, and C. Patzold, Phys. Rev. D55, 7815 (1997), hep-ph/9612264

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