Standard Running, "Physical Running", Cosmological Constant and Newton Coupling

Abstract

Recently it is asserted that the standard beta function does not describe the correct running of the coupling constant in some theories. We show that the problem arises from the assumption $\mu=p$ ($\mu$ is a renormalization point) and that a suitable choice of $\mu$ gives the correct running. It is also claimed that neither the cosmological constant nor Newton coupling run. We argue that running can be discussed when we consider the curved spacetime.