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Dynamical symmetry breaking in a non-polynomial four-fermion model
Abstract
We present a new four-fermion model with a strongly non-polynomial coupling. To eliminate these non-polynomialities, we introduce two auxiliary vector fields and show that the dynamical Lorentz symmetry breaking is possible in our theory, as revealed by the effective potential generated for these vector fields. We explicitly calculate the low-energy effective action for these fields, which is given by the sum of three Maxwell terms (one for each field and a mixed one) plus a potential term displaying nontrivial minima.
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BibTeX
@misc{assuncao2026dynamical,
title = {{Dynamical symmetry breaking in a non-polynomial four-fermion model}},
author = {J. F. Assunção and T. Mariz and A. Yu. Petrov and V. Prata},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13575},
eprint = {2610.13575},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13575},
}
RIS
TY - UNPB
TI - Dynamical symmetry breaking in a non-polynomial four-fermion model
AU - J. F. Assunção
AU - T. Mariz
AU - A. Yu. Petrov
AU - V. Prata
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13575
UR - https://arxiv.org/abs/2610.13575
AB - We present a new four-fermion model with a strongly non-polynomial coupling. To eliminate these non-polynomialities, we introduce two auxiliary vector fields and show that the dynamical Lorentz symmetry breaking is possible in our theory, as revealed by the effective potential generated for these vector fields. We explicitly calculate the low-energy effective action for these fields, which is given by the sum of three Maxwell terms (one for each field and a mixed one) plus a potential term displaying nontrivial minima.
ER -