Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization

TL;DR

This paper extends the Standard Model with higher-order derivatives using the rotor mechanism, explores its quantization, and discusses potential solutions to the Hierarchy problem through taming infinities in high-dimensional spacetime.

Contribution

It introduces a generalized Standard Model with higher-order derivatives under rotor mechanism and develops its path integral and BRST quantization, including Slavnov-Taylor identities.

Findings

Successful quantization of the rotor-extended Standard Model.

Proof of Slavnov-Taylor identities in the rotor framework.

Discussion on rotor model's potential to address the Hierarchy problem.

Abstract

The Standard Model is the paradigm of particle physics which gives an accurate theory for fundamental particle interactions. However, the extension of Standard Model with higher-order derivatives is not a well-studied subject. This paper is a follow-up work of the previous study of the generalized Abelian gauge field theory and Yang-Mills theory under rotor mechanism of order $n$ of higher order derivatives, and we apply it to the Standard Model of particle physics. Rotor mechanism on scalar field and Dirac field is also studied. We will study the quantization of the rotored Standard Model using path integral approach. We also inherit the previous result from the path integral quantization of generalized Abelian gauge field and apply it to our non-Abelian case. Then we carry out the generalized BRST quantization and prove the existence of the Slavnov-Taylor Identities of the rotor model. Finally, we discuss the possibility of rotor model on taming the infinities arise from the self-energy correction of the Higgs boson in high spacetime dimension, thus this provides a partial solution and new insights to the Hierarchy problem.