We discuss the renormalizability of the massless Thirring model in terms of the causal fermion Green functions and correlation functions of left–right fermion densities. We obtain the most general expressions for the causal two–point Green function and correlation function of left–right fermion densities with dynamical dimensions of fermion fields, parameterised by two parameters. The region of...

The mass shifts for two-fermion bound and scattering P-wave states subject to the long-range interactions due QED in non-relativistic regime are derived. Introducing a short range force coupling spinless fermions one unit of angular momentum framework pionless EFT, we first calculate both perturbatively non-perturbatively Coulomb corrections fermion-fermion continuum infinite volume context. Mo...

We present a formalism for the fermionic quasiparticle propagator in superfluid system. Starting from general many-body hamiltonian confined by two-body instantaneous interaction, equation of motion is obtained Dyson form. Before making any approximation, interaction kernel found to be decomposed into static and dynamical (time-dependent) contributions, while latter translates energy-dependent ...