429 research outputs found
Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
We investigate the primordial trispectra of the general multifield DBI
inflationary model. In contrast with the single field model, the entropic modes
can source the curvature perturbations on the super horizon scales, so we
calculate the contributions from the interaction of four entropic modes
mediating one adiabatic mode to the trispectra, at the large transfer limit
(). We obtained the general form of the 4-point correlation
functions, plotted the shape diagrams in two specific momenta configurations,
"equilateral configuration" and "specialized configuration". Our figures showed
that we can easily distinguish the two different momenta configurations.Comment: 17pages, 7 figures, version to appear in JCA
A parton picture of de Sitter space during slow-roll inflation
It is well-known that expectation values in de Sitter space are afflicted by
infra-red divergences. Long ago, Starobinsky proposed that infra-red effects in
de Sitter space could be accommodated by evolving the long-wavelength part of
the field according to the classical field equations plus a stochastic source
term. I argue that--when quantum-mechanical loop corrections are taken into
account--the separate-universe picture of superhorizon evolution in de Sitter
space is equivalent, in a certain leading-logarithm approximation, to
Starobinsky's stochastic approach. In particular, the time evolution of a box
of de Sitter space can be understood in exact analogy with the DGLAP evolution
of partons within a hadron, which describes a slow logarithmic evolution in the
distribution of the hadron's constituent partons with the energy scale at which
they are probed.Comment: 36 pages; uses iopart.cls and feynmp.sty. v2: Minor typos corrected.
Matches version published in JCA
Injection seeded, diode pumped regenerative ring Nd:YAG amplifier for spaceborne laser ranging technology development
A small, all solid state, regenerative ring amplifier designed as a prototype for space application is discussed. Novel features include dual side pumping of the Nd:YAG crystal and a triangular ring cavity design which minimizes the number of optical components and losses. The amplifier is relatively small (3 ns round trip time) even though standard optical elements are employed. The ring regeneratively amplifies a 100 ps single pulse by approximately 10(exp 5) at a repetition rate of 10 to 100 Hz. The amplifier is designed to be injection seeded with a pulsed, 100 ps laser diode at 1.06 microns, but another Nd:YAG laser system supplying higher pulse energies was employed for laboratory experiment. This system is a prototype laser oscillator for the Geoscience Laser Ranging System (GLRS) platform. Results on measurements of beam quality, astigmatism, and gain are given
Semiclassical relations and IR effects in de Sitter and slow-roll space-times
We calculate IR divergent graviton one-loop corrections to scalar correlators
in de Sitter space, and show that the leading IR contribution may be reproduced
via simple semiclassical consistency relations. One can likewise use such
semiclassical relations to calculate leading IR corrections to correlators in
slow-roll inflation. The regulated corrections shift the tensor/scalar ratio
and consistency relation of single field inflation, and non-gaussianity
parameters averaged over very large distances. For inflation of sufficient
duration, for example arising from a chaotic inflationary scenario, these
corrections become of order unity. First-order corrections of this size
indicate a breakdown of the perturbative expansion, and suggest the need for a
non-perturbative description of the corresponding regime. This is analogous to
a situation argued to arise in black hole evolution, and to interfere with a
sharp perturbative calculation of "missing information" in Hawking radiation.Comment: 32 pages, 2 figures; v2: running of spectral index included and other
minor changes; v3: minor changes to agree with published versio
Infrared effects in inflationary correlation functions
In this article, I briefly review the status of infrared effects which occur
when using inflationary models to calculate initial conditions for a subsequent
hot, dense plasma phase. Three types of divergence have been identified in the
literature: secular, "time-dependent" logarithms, which grow with time spent
outside the horizon; "box-cutoff" logarithms, which encode a dependence on the
infrared cutoff when calculating in a finite-sized box; and "quantum"
logarithms, which depend on the ratio of a scale characterizing new physics to
the scale of whatever process is under consideration, and whose interpretation
is the same as conventional field theory. I review the calculations in which
these divergences appear, and discuss the methods which have been developed to
deal with them.Comment: Invited review for focus section of Classical & Quantum Gravity on
nonlinear and nongaussian perturbation theory. Some improvements compared to
version which will appear in CQG, especially in Sec. 2.3. 30 pages +
references
Cosmological diagrammatic rules
A simple set of diagrammatic rules is formulated for perturbative evaluation
of ``in-in" correlators, as is needed in cosmology and other nonequilibrium
problems. These rules are both intuitive, and efficient for calculational
purposes.Comment: 7 pages, 3 figure
Diagrammatic approach to non-Gaussianity from inflation
We present Feynman type diagrams for calculating the n-point function of the
primordial curvature perturbation in terms of scalar field perturbations during
inflation. The diagrams can be used to evaluate the corresponding terms in the
n-point function at tree level or any required loop level. Rules are presented
for drawing the diagrams and writing down the corresponding terms in real space
and Fourier space. We show that vertices can be renormalised to automatically
account for diagrams with dressed vertices. We apply these rules to calculate
the primordial power spectrum up to two loops, the bispectrum including loop
corrections, and the trispectrum.Comment: 17 pages, 13 figures. v2: Comments and references added, v3:
Introduction expanded, subsection on evaluating loop diagrams added, minor
errors corrected, references adde
Non-gaussianity of inflationary field perturbations from the field equation
We calculate the tree-level bispectrum of the inflaton field perturbation
directly from the field equations, and construct the corresponding f_NL
parameter. Our results agree with previous ones derived from the Lagrangian. We
argue that quantum theory should only be used to calculate the correlators when
they first become classical a few Hubble times after horizon exit, the
classical evolution taking over thereafter.Comment: 16 pages, uses iopart.sty. v2: replaced with version accepted by
JCAP; minor changes of wording only. v3: supersedes version published by
journal; typo fixed in Eq. (20) and updated references. v4: sign errors in
Eqs. (32) and (38) correcte
Non-Gaussianity from Lifshitz Scalar
A Lifshitz scalar with the dynamical critical exponent z = 3 obtains
scale-invariant, super-horizon field fluctuations without the need of an
inflationary era. Since this mechanism is due to the special scaling of the
Lifshitz scalar and persists in the presence of unsuppressed self-couplings,
the resulting fluctuation spectrum can deviate from a Gaussian distribution. We
study the non-Gaussian nature of the Lifshitz scalar's intrinsic field
fluctuations, and show that primordial curvature perturbations sourced from
such field fluctuations can have large non-Gaussianity of order f_NL = O(100),
which will be detected by upcoming CMB observations. We compute the bispectrum
and trispectrum of the fluctuations, and discuss their configurations in
momentum space. In particular, the bispectrum is found to take various shapes,
including the local, equilateral, and orthogonal shapes. Intriguingly, all
integrals in the in-in formalism can be performed analytically.Comment: 17 pages, 15 figures, v2: published in JCA
- âŠ