Generalized Yang-Mills Theory under Rotor Mechanism

B. T. T. Wong

doi:10.1016/j.nuclphysb.2022.115765

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arXiv · 2202.03151

Generalized Yang-Mills Theory under Rotor Mechanism

B. T. T. Wong

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Abstract

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 $T_{\mu}^a \rightarrow \Box^n T_{\mu}^a$. 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. We also compute the equation of motion and Noether's current of the generalized non-abelian gauge field theory. Finally, we study the dynamic instability issue of the theory by the Ostrogradsky construction and the analysis of the 00-component of the energy-momentum tensor.

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B. T. T. Wong. 2022-01-28. Generalized Yang-Mills Theory under Rotor Mechanism. https://doi.org/10.1016/j.nuclphysb.2022.115765

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