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SUMMARY:Correlation functions of sourced gravitational waves in inflationa
ry scalar vector models. A symmetry based approach
DTSTART;VALUE=DATE-TIME:20190507T193000Z
DTEND;VALUE=DATE-TIME:20190507T195000Z
DTSTAMP;VALUE=DATE-TIME:20200710T024408Z
UID:indico-contribution-3403643@indico.cern.ch
DESCRIPTION:Speakers: Josue Motoa Manzano (Universidad del Valle)\nIn this
work we use the correspondence between a field theory in de Sitter space
in 4-dimensions and the dual conformal field theory in an euclidean space
in 3-dimensions\, to compute the form of two and three point correlation f
unctions of scalar-tensor perturbations. To this end\, we use an inflation
ary model\, in which the inflaton field is interacting with a vector field
trough the term $f(\\phi)\\left(F_{\\mu \\nu}F^{\\mu \\nu}+\\kappa\\tilde
{F}_{\\mu \\nu}F^{\\mu \\nu}\\right).$\nThe first step of this method cons
ist in to solve the equations of motion for the fields in the de Sitter 4D
space-time\, then evaluate this solutions in super-Hubble scales and com
pute the conformal weight of the projection of this fields in the 3D space
. In a second stage\, we propose a general form for the correlators\, whic
h involve scalar\, vector and tensor perturbations and\, using the first s
tep result\, find its momentum dependence by imposing that those are invar
iant under dilatations and special conformal transformation (SCT). As a re
sult\, we find the form for the different Spectrums of the tensor perturba
tions and for the a mixed Bispectrum coming from the vacuum and for the ve
ctor perturbations. They show to be in agreement with the results in the l
iterature.\n\nhttps://indico.cern.ch/event/721602/contributions/3403643/
LOCATION:Museum Casa de los Árabes
URL:https://indico.cern.ch/event/721602/contributions/3403643/
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