One-Loop Renormalization of Spin-1/2 SOPHIES
Abstract
In this paper, three formulations of spin-1/2 Second-Order Pseudo-Hermitian quantum field theorIES (SOPHIES) are built from scratch from parity eigenstates. Pseudo-Hermiticity allows the unconstrained fields to satisfy either Fermi--Dirac or Bose--Einstein statistics, while self-conjugate Majorana-like fields are only compatible with Fermi--Dirac. The set of independent four dimension renormalizable self-interactions of the three theories are identified, and the one-loop renormalization of the unconstrained fermionic and bosonic theories coupled to an abelian gauge boson and enhanced with a Pauli term and including self-interactions is studied, together with the one-loop renormalization of the only independent quartic self-interaction of self-conjugate fields. The analysis leads to a rich set of Renormalization Group Equations with deep connections to known theories, like the Dirac formalism and the Klein--Gordon scalar through the fixed points of the Pauli coupling.
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BibTeX
@misc{diazsaldana2026oneloop,
title = {{One-Loop Renormalization of Spin-$1/2$ SOPHIES}},
author = {I. Díaz-Saldaña and A. Gutiérrez-Rodríguez and Armando de la C. Rangel-Pantoja and Carlos A. Vaquera-Araujo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19172},
eprint = {2610.19172},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19172},
}
RIS
TY - UNPB
TI - One-Loop Renormalization of Spin-1/2 SOPHIES
AU - I. Díaz-Saldaña
AU - A. Gutiérrez-Rodríguez
AU - Armando de la C. Rangel-Pantoja
AU - Carlos A. Vaquera-Araujo
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.19172
UR - https://arxiv.org/abs/2610.19172
AB - In this paper, three formulations of spin-1/2 Second-Order Pseudo-Hermitian quantum field theorIES (SOPHIES) are built from scratch from parity eigenstates. Pseudo-Hermiticity allows the unconstrained fields to satisfy either Fermi--Dirac or Bose--Einstein statistics, while self-conjugate Majorana-like fields are only compatible with Fermi--Dirac. The set of independent four dimension renormalizable self-interactions of the three theories are identified, and the one-loop renormalization of the unconstrained fermionic and bosonic theories coupled to an abelian gauge boson and enhanced with a Pauli term and including self-interactions is studied, together with the one-loop renormalization of the only independent quartic self-interaction of self-conjugate fields. The analysis leads to a rich set of Renormalization Group Equations with deep connections to known theories, like the Dirac formalism and the Klein--Gordon scalar through the fixed points of the Pauli coupling.
ER -