Relating Spectral Indices to Tensor and Scalar Amplitudes in Inflation TeX Export

@misc{citeulike:802110, abstract = {Within an expansion in slow-roll inflation parameters, we derive the complete second-order expressions relating the ratio of tensor to scalar density perturbations and the spectral index of the scalar spectrum. We find that ``corrections'' to previously derived formulae can dominate if the tensor to scalar ratio is small. For instance, if \$V V''/(V')^2\neq 1\$ or if \$m\_{Pl}^2/(4\pi) \~{}|V'''/V'|\ga 1\$, where \$V(\phi)\$ is the inflaton potential and \$m\_{Pl}\$ is the Planck mass, then the previously used simple relations between the indices and the tensor to scalar ratio fails. This failure occurs in particular for natural inflation, Coleman--Weinberg inflation, and ``chaotic'' inflation.}, archivePrefix = {arXiv}, author = {Kolb, Edward W. and Vadas, Sharon L.}, citeulike-article-id = {802110}, citeulike-linkout-0 = {http://arxiv.org/abs/astro-ph/9403001}, citeulike-linkout-1 = {http://arxiv.org/pdf/astro-ph/9403001}, day = {19}, eprint = {astro-ph/9403001}, keywords = {calculation, constraints, cosmology, inflation, perturbation}, month = {Mar}, posted-at = {2006-08-15 15:19:55}, priority = {2}, title = {Relating Spectral Indices to Tensor and Scalar Amplitudes in Inflation}, url = {http://arxiv.org/abs/astro-ph/9403001}, year = {1994} }

TY - ELEC ID - citeulike:802110 L3 - citeulike-article-id:802110 N2 - Within an expansion in slow-roll inflation parameters, we derive the complete second-order expressions relating the ratio of tensor to scalar density perturbations and the spectral index of the scalar spectrum. We find that ``corrections'' to previously derived formulae can dominate if the tensor to scalar ratio is small. For instance, if $V V''/(V')^2\neq 1$ or if $m_{Pl}^2/(4\pi) ~|V'''/V'|\ga 1$, where $V(\phi)$ is the inflaton potential and $m_{Pl}$ is the Planck mass, then the previously used simple relations between the indices and the tensor to scalar ratio fails. This failure occurs in particular for natural inflation, Coleman--Weinberg inflation, and ``chaotic'' inflation. TI - Relating Spectral Indices to Tensor and Scalar Amplitudes in Inflation KW - calculation KW - constraints KW - cosmology KW - inflation KW - perturbation AU - Kolb, Edward AU - Vadas, Sharon PY - 1994/Mar/19/ UR - http://arxiv.org/abs/astro-ph/9403001 ER -