Revising the observable consequences of slow-roll inflation TeX Export

@article{citeulike:6079811, abstract = {We study the generation of primordial perturbations in a (single-field) slow-roll inflationary universe. In momentum space, these (Gaussian) perturbations are characterized by a zero mean and a non-zero variance \$\Delta^2(k, t)\$. However, in position space the variance diverges in the ultraviolet. The requirement of a finite variance in position space forces one to regularize \$\Delta^2(k, t)\$. This can (and should) be achieved by proper renormalization in an expanding universe in a unique way. This affects the predicted scalar and tensorial power spectra (evaluated when the modes acquire classical properties) for wavelengths that today are at observable scales. As a consequence, the imprint of slow-roll inflation on the CMB anisotropies is significantly altered. We find a non-trivial change in the consistency condition that relates the tensor-to-scalar ratio \$r\$ to the spectral indices. For instance, an exact scale-invariant tensorial power spectrum, \$n\_t=0\$, is now compatible with a non-zero ratio \$r\approx 0.12\pm0.06\$, which is forbidden by the standard prediction (\$r=-8n\_t\$). The influence of relic gravitational waves on the CMB may soon come within the range of planned measurements, offering a non-trivial test of the new predictions.}, archivePrefix = {arXiv}, author = {Agullo, Ivan and Navarro-Salas, Jose and Olmo, Gonzalo J. and Parker, Leonard}, citeulike-article-id = {6079811}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0961}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0961}, day = {5}, eprint = {0911.0961}, keywords = {perturbation, theory}, month = {Nov}, posted-at = {2009-11-06 03:17:22}, priority = {2}, title = {Revising the observable consequences of slow-roll inflation}, url = {http://arxiv.org/abs/0911.0961}, year = {2009} }

TY - JOUR ID - citeulike:6079811 L3 - citeulike-article-id:6079811 N2 - We study the generation of primordial perturbations in a (single-field) slow-roll inflationary universe. In momentum space, these (Gaussian) perturbations are characterized by a zero mean and a non-zero variance $\Delta^2(k, t)$. However, in position space the variance diverges in the ultraviolet. The requirement of a finite variance in position space forces one to regularize $\Delta^2(k, t)$. This can (and should) be achieved by proper renormalization in an expanding universe in a unique way. This affects the predicted scalar and tensorial power spectra (evaluated when the modes acquire classical properties) for wavelengths that today are at observable scales. As a consequence, the imprint of slow-roll inflation on the CMB anisotropies is significantly altered. We find a non-trivial change in the consistency condition that relates the tensor-to-scalar ratio $r$ to the spectral indices. For instance, an exact scale-invariant tensorial power spectrum, $n_t=0$, is now compatible with a non-zero ratio $r\approx 0.12\pm0.06$, which is forbidden by the standard prediction ($r=-8n_t$). The influence of relic gravitational waves on the CMB may soon come within the range of planned measurements, offering a non-trivial test of the new predictions. TI - Revising the observable consequences of slow-roll inflation KW - perturbation KW - theory AU - Agullo, Ivan AU - Navarro-Salas, Jose AU - Olmo, Gonzalo AU - Parker, Leonard PY - 2009/Nov/05/ UR - http://arxiv.org/abs/0911.0961 ER -