Mass Gap in U(1) Higgs-Yukawa model on a unit lattice
Mathematical Physics
2023-03-07 v2 High Energy Physics - Lattice
High Energy Physics - Theory
math.MP
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 . 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.
Keywords
Cite
@article{arxiv.2006.14797,
title = {Mass Gap in U(1) Higgs-Yukawa model on a unit lattice},
author = {Abhishek Goswami},
journal= {arXiv preprint arXiv:2006.14797},
year = {2023}
}
Comments
Remarks addressing fermion doubling and chiral invariance added in the introduction. References updated. Typos corrected