A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking
Abstract
We study a quantum-simulation model of a mass enhancement in the fermionic states, as well as in the bosonic ones, of the supersymmetric quantum mechanics. The bosonic and fermionic states are graded by a qubit. This model is so simple that it may be implemented as a quantum simulation of the mass enhancement taking place when supersymmetry (SUSY) is spontaneously broken. Here, our quantum simulation means the realization of the target quantum phenomenon with some quantum-information devices as a physical reality. The model describes how the quasi-particle consisting of the annihilation and creation of 1-mode scalar bosons eats the spin effect given by the X-gate, and how it acquires the mass enhancement in the fermionic states in the spontaneous SUSY breaking. Our model's interaction does not have any Higgs potential. Instead, the qubit acts as a substitute for the Higgs potential by the 2-level-system approximation of the double-well potential, and then, the spontaneous SUSY breaking takes place and the mass is enhanced.
Keywords
Cite
@article{arxiv.2210.02778,
title = {A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking},
author = {Masao Hirokawa},
journal= {arXiv preprint arXiv:2210.02778},
year = {2023}
}
Comments
28 pages, 8 figures. I explain what works for the spontaneous symmetry breaking and the mass enhancement instead of the Higgs potential. I add a supplementary explanation for the issue on Goldstino. I correct some typos