Radiative Symmetry Breaking and Dynamical Origin of Cosmological   Constant in $\phi^4$ Theory with Non-Linear Curvature Coupling
  A scalar self-interacting theory non-linearly coupled with some power of the curvature have a possibility to explain the current smallness of the cosmological constant. Here one concentrate on a massless scalar field in the four-dimensional Fridmann-Robertson-Walker (FRW) spacetime with flat spatial part. One show the phase structure of radiative symmetry breaking and review a dynamical resolution of the cosmological constant problem. 
Tomohiro Inagaki