Resource Augmenting Technological Progress and Sustainable Development?

This paper constructs a three-sector growth model with non-renewable environmental resource and a resource augmenting technological progress, and investigates the relation between the sustainability of resource use and growth of the nations. When the resource augmenting technological progress arises, it is shown that, if the agent is patient, then resource extraction is reduced. We can also prove that, in the opposite preference case, resource use is promoted. These results present a significant policy implication for environmental conservation.Non-renewable resource, Resource augmenting technological progress, Sustainable development

Phase structure of NJL model with weak renormalization group

We analyze the chiral phase structure of the Nambu--Jona-Lasinio model at finite temperature and density by using the functional renormalization group (FRG). The renormalization group (RG) equation for the fermionic effective potential $V(\sigma;t)$ is given as a partial differential equation, where $\sigma:=\bar \psi\psi$ and $t$ is a dimensionless RG scale. When the dynamical chiral symmetry breaking (D$\chi$SB) occurs at a certain scale $t_c$, $V(\sigma;t)$ has singularities originated from the phase transitions, and then one cannot follow RG flows after $t_c$. In this study, we introduce the weak solution method to the RG equation in order to follow the RG flows after the D$\chi$SB and to evaluate the dynamical mass and the chiral condensate in low energy scales. It is shown that the weak solution of the RG equation correctly captures vacuum structures and critical phenomena within the pure fermionic system. We show the chiral phase diagram on temperature, chemical potential and the four-Fermi coupling constant.Comment: 32 pages, 12 figures; Version published in Nuclear Physics