Non-Gaussianities in two-field inflation TeX Export

@misc{citeulike:665711, abstract = {We study the bispectrum of the curvature perturbation on uniform energy density hypersurfaces in models of inflation with two scalar fields evolving simultaneously. In the case of a separable potential, it is possible to compute the curvature perturbation up to second order in the perturbations, generated on large scales due to the presence of non-adiabatic perturbations, by employing the \$\delta N\$-formalism, in the slow-roll approximation. In this case, we provide an analytic formula for the nonlinear parameter \$f\_{NL}\$. We apply this formula to double inflation with two massive fields, showing that it does not generate significant non-Gaussianity; the nonlinear parameter at the end of inflation is slow-roll suppressed. Finally, we develop a numerical method for generic two-field models of inflation, which allows us to go beyond the slow-roll approximation and confirms our analytic results for double inflation.}, archivePrefix = {arXiv}, author = {Vernizzi, Filippo and Wands, David}, citeulike-article-id = {665711}, citeulike-linkout-0 = {http://arxiv.org/abs/astro-ph/0603799}, citeulike-linkout-1 = {http://arxiv.org/pdf/astro-ph/0603799}, day = {18}, eprint = {astro-ph/0603799}, keywords = {inflation, multifield, nongaussianities, toread}, month = {May}, posted-at = {2006-10-12 16:56:53}, priority = {2}, title = {Non-Gaussianities in two-field inflation}, url = {http://arxiv.org/abs/astro-ph/0603799}, year = {2006} }

TY - ELEC ID - citeulike:665711 L3 - citeulike-article-id:665711 N2 - We study the bispectrum of the curvature perturbation on uniform energy density hypersurfaces in models of inflation with two scalar fields evolving simultaneously. In the case of a separable potential, it is possible to compute the curvature perturbation up to second order in the perturbations, generated on large scales due to the presence of non-adiabatic perturbations, by employing the $\delta N$-formalism, in the slow-roll approximation. In this case, we provide an analytic formula for the nonlinear parameter $f_{NL}$. We apply this formula to double inflation with two massive fields, showing that it does not generate significant non-Gaussianity; the nonlinear parameter at the end of inflation is slow-roll suppressed. Finally, we develop a numerical method for generic two-field models of inflation, which allows us to go beyond the slow-roll approximation and confirms our analytic results for double inflation. TI - Non-Gaussianities in two-field inflation KW - inflation KW - multifield KW - nongaussianities KW - toread AU - Vernizzi, Filippo AU - Wands, David PY - 2006/May/18/ UR - http://arxiv.org/abs/astro-ph/0603799 ER -