Mass Gap in U(1) Higgs-Yukawa model on a unit lattice

Abstract

A non perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing exponential decay of the two point fermionic correlation function in a weakly coupled U(1) Higgs-Yukawa theory on a unit lattice in $d=4$. This decay implies that the Higgs boson, the photon and the fermion all have a non zero physical mass and the theory is said to have a mass gap.

Comments: Remarks addressing fermion doubling and chiral invariance added in the introduction. References updated. Typos corrected