On the one-loop correction of "phi^4" theory in higher dimensions

We have considered phi^4 theory in higher dimensions. Using functional diagrammatic approach, we computed the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that phi^4 theory can be regularised in five dimensions. Temperature dependent one-loop correction and critical temperature T_c are computed and T_c depends on the fundamental scale M of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second orderComment: 8 pages, 5 figures. To appear in IJMP

Dvali-Gabadadze-Porrati Cosmology in Bianchi I brane

The dynamics of Dvali-Gabadadze-Porrati Cosmology (DGP) braneworld with an anisotropic brane is studied. The Friedmann equations and their solutions are obtained for two branches of anisotropic DGP model. The late time behavior in DGP cosmology is examined in the presence of anisotropy which shows that universe enters a self-accelerating phase much later compared to the isotropic case. The acceleration conditions and slow-roll conditions for inflation are obtained

Bulk scalar field in DGP braneworld cosmology

We investigated the effects of bulk scalar field in the braneworld cosmological scenario. The Friedmann equations and acceleration condition in presence of the bulk scalar field for a zero tension brane and cosmological constant are studied. In DGP model the effective Einstein equation on the brane is obtained with bulk scalar field. The rescaled bulk scalar field on the brane in the DGP model behaves as an effective four dimensional field, thus standard type cosmology is recovered. In present study of the DGP model, the late-time accelerating phase of the universe can be explained .Comment: 10 pages, to appear in JCA

Seasonal Variation of Groundwater Quality for Irrigational uses in Gadilam River Basin, Tamil Nadu, India

The present research work pertains to the Gadilam river basin groundwater quality for irrigation uses with respect to the Archaean formation, the Quaternary formation, the Tertiary formation and the Cretaceous formation. Experiments were carried out for two seasons (rainy season and summer season) for two successive years (November 2018 and June 2019). Overall, 120 groundwater samples were collected from the Gadilam river basin, excluding the reserved forest area. The 50 samples were collected from the Archaean formation, 34 samples from the Quaternary formation, and 35 samples from the Tertiary Formation. The remaining sample is from the Cretaceous formation. Based on the obtained analysed data, the following agricultural water quality parameters were calculated using the following expressions: The irrigational quality parameters are used, such as sodium percentage (Na%), sodium adsorption ratio (SAR), Kelly’s ratio (KR), permeability index (PI), magnesium ratio (MR), residual sodium carbonate (RSC), and potential salinity (PS) are calculated and assessed for irrigation purposes