On the Issue of the {zeta} series convergence and loop corrections in the generation of observable primordial non-Gaussianity in slow-roll inflation. II. The trispectrum

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.023531· OSTI ID:21409063

Rodriguez, Yeinzon ^[1]; Valenzuela-Toledo, Cesar A ^[2]

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1. Centro de Investigaciones, Universidad Antonio Narino, Cra 3 Este 47A-15, Bogota D.C. (Colombia)
2. Escuela de Fisica, Universidad Industrial de Santander, Ciudad Universitaria, Bucaramanga (Colombia)

We calculate the trispectrum T{sub {zeta}}of the primordial curvature perturbation {zeta}, generated during a slow-roll inflationary epoch by considering a two-field quadratic model of inflation with canonical kinetic terms. We consider loop contributions as well as tree-level terms, and show that it is possible to attain very high, including observable, values for the level of non-Gaussianity {tau}{sub NL} if T{sub {zeta}}is dominated by the one-loop contribution. Special attention is paid to the claim in J. Cosmol. Astropart. Phys. 02 (2009) 017 that, in the model studied in this paper and for the specific inflationary trajectory we choose, the quantum fluctuations of the fields overwhelm the classical evolution. We argue that such a claim actually does not apply to our model, although more research is needed in order to understand the role of quantum diffusion. We also consider the probability that an observer in an ensemble of realizations of the density field sees a non-Gaussian distribution. In that respect, we show that the probability associated to the chosen inflationary trajectory is non-negligible. Finally, the levels of non-Gaussianity f{sub NL} and {tau}{sub NL} in the bispectrum B{sub {zeta}}and trispectrum T{sub {zeta}}of {zeta}, respectively, are also studied for the case in which {zeta} is not generated during inflation.

• OSTI ID: 21409063
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CONVERGENCE
CORRECTIONS
COSMOLOGICAL MODELS
DENSITY
DIFFUSION
DISTURBANCES
FLUCTUATIONS
FUNCTIONS
GAUSS FUNCTION
INFLATION
INFLATIONARY UNIVERSE
MATHEMATICAL MODELS
PERTURBATION THEORY
PHYSICAL PROPERTIES
PROBABILITY
SIMULATION
VARIATIONS