Non-perturbative Lee-Wick gauge theory: Towards Confinement & RGE with strong couplings

Feb 19, 2022
28 pages
Published in:
  • Class.Quant.Grav. 41 (2024) 1, 015014,
  • Class.Quant.Grav. 41 (2024) 015014
  • Published: Dec 4, 2023
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Abstract: (IOP)
We consider a non-Abelian Lee–Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin invariance. It contains fourth-order derivative as extensions of the kinetic term, leading to massive ghosts in the theory upon quantization. We particularly provide essential clues towards confinement conditions in strongly-coupled regimes, using the Kugo–Ojima approach, and obtain the functions in the non-perturbative regimes. This is achieved using a set of exact solutions of the corresponding local theory in terms of Jacobi elliptical functions. We obtain a similar function just as for the ordinary Yang-Mills theory but the main differences are that now, the cut-off arises naturally from the Lee–Wick heavy mass scales (M). We show that the fate of the ghosts are fixed in these regimes: they are no more the propagating degrees of freedom in the infrared-limit. As it also happens for the ordinary case, confinement is due to the non-Abelian nature of the theory. In the limit , one recovers the standard results for the local non-Abelian Yang-Mills theory.
Note:
  • 28 pages, 1 figure. Version accepted for publication in Classical and Quantum Gravity. arXiv admin note: text overlap with arXiv:2106.07629
  • Lee-Wick
  • ghosts
  • confinement
  • renormalization group equation
  • non-perturbative
  • gauge field theory: Yang-Mills
  • mass: scale
  • ghost: massive
  • Lee-Wick model
  • Becchi-Rouet-Stora