Effects Of Non-minimal Derivative Coupling On CMB Distortions Induced By Inflation Scenarios

As an important part of modern cosmology and a complement to the big bang theory,inflation theory describes an accelerated expansion phase in the early universe,during which the volume of the universe increases exponentially in a very short period.Inflation not only provides the seeds for structure formations but also leaves imprints in the cosmic microwave background(CMB).In the last three decades,the observation of anisotropies of CMB provides strong evidence for cosmic inflation.More date will come out from future experiments such as B-mode polarization and CMB distortions in the next serval decades.In this dissertation,we forecast the observational prospects of spectral distortions for non-minimal derivative coupled inflation and correct some results for minimal coupled inflation as well.By taking the sensitivity of the PIXIE experiment as the criterion,we find that for both cases of minimal coupled and nonminimal derivative coupled,there are only five models that can generate a detectable level of CMB distortions,among the 49single-field inflation modes.These models are hybrid inflation in the valley(VHI),non-canonical K?hler inflation(NCKI),generalized MSSM inflation(GMSSMI),generalized renormalizable inflection point inflation(GRIPI)and running-mass inflation(RMI).Each of these models can induce5 detectable signals in a tuned region of their parameter space.In the corresponding parameter region,the NCKI model becomes an approximation VHI model.The existence of non-minimal derivative coupling suppresses the value of model parameters with mass dimension for VHI,GMSSMI,and GRIPI,such that these three models can agree with their theoretical considerations.Moreover,in the non-minimal coupled case,the range of parameter of the RMI model is much larger than that of minimal coupled case.