Non-polynomial interactions as a path towards a non-renormalizable UV-completion
(2024) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics — Vol. 855 (2024)
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- Abstract
- We propose a new class of single-field scalar quantum field theories with non-polynomial interactions leading to a two-point Green's function that can be naturally continued beyond the naive cutoff scale. This provides a new prospect for self-completing theories in the UV-domain. In our approach, the formal power series for the scalar potential has a vanishing radius of convergence and is defined through Borel resummation. We discuss concrete examples, among others with a spectral function that vanishes at large momenta, potentially leading to an asymptotically free theory. Finally, we give an outlook on future research, with a view towards possible applications to inflation and gravity.
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Zell, S., & et al. (2024). Non-polynomial interactions as a path towards a non-renormalizable UV-completion. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 855. https://doi.org/10.1016/j.physletb.2024.138804 (Original work published 2024)