Stability in the higher derivative Abelian gauge field theories

Dai, Jialiang

doi:10.1016/j.nuclphysb.2020.115267

Cited by 11 publications

(4 citation statements)

References 37 publications

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“…FUTURE STUDY There are some paper [17]- [21] that study the coding-encoding technology, in the future research of the manuscript we should consider the method based on concepts of group. In articles [22]- [25] research the mathematical expression of symmetry in physics using group theory, in the future research of the manuscript we should studies symmetry in physics more deeply.…”

Section: Experiments and Simulation 41 Action Recognition Using Lie N...mentioning

confidence: 99%

The measurement set representation of the body posture based on group theory

Deng

Xie

2022

IJEECS

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<p>The foundation of measurement is the representation of measurement set. The paper proposes a body posture measurement set representation method based on concepts of group, fields, and ring. It attempts to explore the intrinsic relationship among numerous different measurement set. The attitude sensor is used to measure the attitude, and the measurement set representation and processing are analyzed based on the lie group theory in the paper. In the paper, the paper maps body posture data into image, and it is easier to identify the error of posture measurement data. Meanwhile, the simulation and test results show that the method can represent body posture data and detect it’s defects easily.</p>

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Section: Experiments and Simulation 41 Action Recognition Using Lie N...mentioning

confidence: 99%

The measurement set representation of the body posture based on group theory

Deng

Xie

2022

IJEECS

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“…The study of higher order derivative quantum field theory is particular interesting because it can eliminate ultraviolet (UV) divergences in scattering amplitudes [4,5,6,7,8]. There are studies on higher order derivative scalar field and gauge field theories, and these theories have contributions in quantum gravity and modified gravity [9,10,11,12,13,14,15,16]. Higher order derivative theory also shows its appearance in string theory [17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

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

Wong¹

2023

Preprint

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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 derivative 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 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. 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 provide a partial solution and new insight to the Hierarchy problem.

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“…Quantum field theories with high-order derivatives are of appealing interest because they have the possibilities to eliminate ultraviolet divergences in the calculation of scattering amplitudes [1,2,3,4,5,6,7,8]. Vast amount of studies in higher order derivative field theories including both scalar fields and gauge fields have been performed [9,10,11,12]. However, there are difficulties in establishing the formalism as these theories are often non-renormalizable and dynamically unstable with unbounded Hamiltonian [13,14,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

Generalized Yang-Mills Theory under Rotor Mechanism

Wong

2022

Preprint

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This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian case applies nicely to the non-abelian case under the Lorentz gauge condition. Under the rotor mechanism, the gauge field transforms as T a µ → n T a µ . When the order of field derivative is n = 0, this restores back to the original Yang-Mills action. Our work gives an extensive generalization of the Yang-Mills theory with higher-order field derivatives. Finally, we compute the equation of motion and Noether's current of the generalized non-abelian gauge field theory.

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Stability in the higher derivative Abelian gauge field theories

Cited by 11 publications

References 37 publications

The measurement set representation of the body posture based on group theory

The measurement set representation of the body posture based on group theory

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

Generalized Yang-Mills Theory under Rotor Mechanism

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