Improved Hartree-Fock resummations and spontaneous symmetry breaking

Andrea Sartirana, Claudio Destri
2006 Physical Review D  
The standard Hartree--Fock approximation of the O(N)-invariant ϕ^4 model suffers from serious renormalization problems. In addition, when the symmetry is spontaneously broken, another shortcoming appears in relation to the Goldstone bosons: they fail to be massless in the intermediate states. In this work, within the framework of out--of--equilibrium Quantum Field Theory, we propose a class of systematic improvements of the Hartree--Fock resummation which overcomes all the above mentioned
more » ... ulties while ensuring also exact Renormalization--Group invariance to one loop.
doi:10.1103/physrevd.73.025012 fatcat:alpt2yejazcqxcdhn52sfncdre