Brazilian Journal of Physics
Print version ISSN 0103-9733
CAVAGNOLI, Rafael and PINTO, Marcus Benghi. Radiatively induced non linearity in the Walecka model. Braz. J. Phys. [online]. 2010, vol.40, n.4, pp. 432-442. ISSN 0103-9733. http://dx.doi.org/10.1590/S0103-97332010000400014.
We evaluate the effective potential for the conventional linear Walecka non perturbatively up to one loop. This quantity is then renormalized with a prescription which allows finite vacuum contributions to the three as well as four 1PI Green's functions to survive. These terms, which are absent in the standard relativistic Hartree approximation, have a logarithmic energy scale dependence that can be tuned so as to mimic the effects of ø3 and ø4 type of terms present in the non linear Walecka model improving quantities such as the compressibility modulus and the effective nucleon mass, at saturation, by considering energy scales which are very close to the nucleon mass at vanishing density.
Keywords : Renormalization; Nuclear matter; Finite densities; Vacuum corrections; Walecka model.