Mass gap in U(1) Higgs–Yukawa model on a unit lattice-Reference-Cited by-同舟云学术

Mass gap in U(1) Higgs–Yukawa model on a unit lattice

Published:2023-03-01 Issue:3 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Goswami Abhishek¹²^ORCID

Affiliation:

1. Department of Mathematics, SUNY at Buffalo , Buffalo, New York 14260, USA and , Poznań, Poland

2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University , Buffalo, New York 14260, USA and , Poznań, Poland

Abstract

A non-perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing an 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.

Funder

National Science CenterPoland

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0107644/16793223/032302_1_online.pdf

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