Vacuum Effects and Compressional Properties of Nuclear Matter in Cutoff Field Theory

The compressional properties of nuclear matter, including vacuum effects, are studied in the cutoff field theory. In the Hartree approximation, the low-energy effective Lagrangian is derived in the framework of renormalization group methods. The coefficients are determined in such a way that the physical results depend little on the value of the cutoff which is conveniently introduced into the theory. It is shown that, to reproduce the empirical data of the nucleus incompressibility, it is favorable for the incompressibility of nuclear matter to be 250 ∼ 350 MeV.