Propagating speed of primordial gravitational waves
PHYSICAL REVIEW D
Authors: Giare, William; Renzi, Fabrizio
Abstract
Primordial gravitational waves, i.e., a background of metric perturbations sourced by the quantum inflationary fluctuations, if measured, could both provide substantial evidence for primordial inflation and shed light on physics at extremely high energy scales. In this work we focus on their propagating speed. Using an effective field theory approach we introduce a time-dependent propagating speed c(T)(t) showing that also small deviations from the general relativity (GR) prediction c(T)(t) = c can lead to testable consequences. We derive a set of equations that relate the propagating speed and its time dependence to the inflationary parameters and that generalize the usual slow roll consistency relations. Imposing the new generalized consistency relations and combining small and large scales data, we derive model-independent constraints on inflation with nontrivial primordial tensor speed. In particular, we constrain its scale dependence to be d log c(T)/d log k = 0.082(-0)(.11)(+0.047) at 68% C.L. while we only derive the lower bound c(T) > 0.22c at 95% C.L. We also constrain the tensor-to-scalar ratio at the pivot scale k(*) = 0.05 Mpc(-1) to be r < 0.0599 at 95% C.L. in agreement with the result provided by the Planck Collaboration. Thanks to a proper small scale parametrization of the tensor spectrum we derive stringent constraints on the tensor tilt n(T) = -0.084(-0.047)(+0.10) at 68% C.L. and on its runnings alpha(T) = dn(T)/d log k = 0.0141(-)(0.021)(+0.0035) and beta(T) = d alpha(T)/d log k = -0.0061(-0.001)(4)( )(+0.010)both at 68% C.L. Our results show a remarkable agreement with the standard slow roll predictions and prove that current data can significantly constrain deviations from GR on the inflationary energy scales.
Effects of Dietary Andrographolide Levels on Growth Performance, Antioxidant Capacity, Intestinal Immune Function and Microbioma of Rice Field Eel (Monopterus Albus)
ANIMALS
Authors: Shi, Yong; Zhong, Lei; Liu, Yanli; Zhang, Junzhi; Lv, Zhao; Li, Yao; Hu, Yi
Abstract
Simple Summary This study investigated the effects of dietary andrographolide on the growth performance, antioxidant capacity, intestinal immune function and microbioma of rice field eel. This study indicated that the diets supplemented with low-dose andrographolide (75 and 150 mg/kg) significantly improved growth performance, enhanced antioxidant capacity and regulated the intestinal physical barrier and microbiota of M. albus. In addition, dietary supplementation of andrographolide upregulated of anti-inflammatory cytokines and downregulated of proinflammatory cytokines. The anti-inflammatory function of andrographolide may be related to the suppression of the toll-like receptor signaling pathway. These results can provide the valuable data for future rice field eel feeds. An eight-week feeding trial was conducted to investigate the effects of dietary andrographolide on the growth performance, antioxidant capacity in the liver, intestinal inflammatory response and microbiota of Monopterus albus. A total of 900 health fish (25.00 +/- 0.15 g) were randomly divided into five groups: AD1 (the basal diet) as the control, and AD2, AD3, AD4 and AD5 groups, which were fed the basal diet supplemented with 75, 150, 225 and 300 mg/kg andrographolide, respectively. The results showed that compared with the control group, dietary andrographolide supplementation (1) significantly increased trypsin and lipase activities in the intestine, and increased the weight gain rate but not significantly; (2) significantly increased the levels of glutathione reductase (GR), glutathione (GSH) and glutathione peroxidase (GPx) and the content of in the liver; significantly decreased the contents of reactive oxygen species (ROS) and malondialdehyde (MDA); remarkably upregulated the Nrf2, SOD1, GSTK and GSTO mRNA levels in the liver; downregulated the Keap1 mRNA level; (3) significantly increased the villi length and goblet cell numbers in the intestine, remarkably upregulated the Occludin mRNA level in the intestine, downregulated the Claudin-15 mRNA level; (4) remarkably upregulated the IL-10, TGF-beta 1 and TGF-beta 3 mRNA levels in the intestine; downregulated the IL-12 beta and TLR-3 mRNA levels; (5) significantly decreased the richness and diversity of the intestinal microbioma, increased the percentages of Fusobacteria and Firmicutes and significantly decreased the percentages of Cyanobacteria and Proteobacteria. In conclusion, these results showed that dietary low-dose andrographolide (75 and 150 mg/kg) promoted growth and antioxidant capacity, regulated the intestinal microbioma, enhanced intestinal physical and immune barrier function in rice field eel.