New developments for a chiral effective theory of nuclear matter

We report on the recent developments of a new effective field theory for nuclear matter [1, 2, 3]. We present first the nuclear matter chiral power counting that takes into account both short-and long-range inter-nucleon interactions. It also identifies non-perturbative strings of diagrams, related to the iteration of nucleon-nucleon interactions, which have to be re-summed. The methods of unitary chiral perturbation theory has been shown to be a useful tool in order to perform those resummations and provide sensible results up-to next-to-leading order for the ground state energy per particle of nuclear matter, in-medium chiral quark condensate and the self-energy and axial-vector couplings of the pion.