Identification of perturbative ambiguity canceled against bion

Abstract

It was conjectured that bions, semi-classical objects found in a compactified spacetime, are responsible for the cancellation of the so-called renormalon ambiguities. Contrary to the conjecture, we argue that the ambiguity due to the bion corresponds to the proliferation of Feynman diagrams. We point out that the amplitudes of almost all Feynman diagrams are enhanced due to modifications of the infrared structure of perturbation theory upon an $S^1$ compactification and twisted boundary conditions. Our findings clarify the role of the semi-classical object in resurgence structure, which has been a controversial issue in recent years.

arXiv comment10 pages, 2 figures, to appear in Physics Letters B

References in corpus (13)

• Renormalons
• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• A semiclassical realization of infrared renormalons
• Continuity and Resurgence: towards a continuum definition of the CP(N-1) model
• Non-perturbative Contributions from Complexified Solutions in $\mathbb{C}{P}^{N-1}$ Models
• Bion non-perturbative contributions versus infrared renormalons in two-dimensional $\mathbb{C}{P}^{N-1}$ models
• Exact Resurgent Trans-series and Multi-Bion Contributions to All Orders
• Infrared renormalon in the supersymmetric $\mathbb{C}{P}^{N-1}$ model on $\mathbb{R}\times S^1$
• Renormalon structure in compactified spacetime
• Confinement as Analytic Continuation Beyond Infinity
• Perturbative--nonperturbative connection in quantum mechanics and field theory

Cited by in corpus (7)

• On exact-WKB analysis, resurgent structure, and quantization conditions
• Lattice $\mathbb{C}{P}^{N-1}$ model with ${\mathbb{Z}}_N$ twisted boundary condition: bions, adiabatic continuity and pseudo-entropy
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• TQFT at work for IR-renormalons, resurgence and Lefschetz decomposition
• Cluster expansion and resurgence in Polyakov model
• Resurgence and semiclassical expansion in two-dimensional large-$N$ sigma models
• More on the infrared renormalon in $SU(N)$ QCD(adj.) on ${\mathbb{R}}^3\times S^1$